Average Percentage Increase given Future Population from Geometrical Increase Method Calculator

✖Forecasted Population is the population forested usually after n decade or after n years.ⓘ Forecasted Population [P_n]			+10% -10%
✖Last Known Population is the population of any area of the previous year or decade.ⓘ Last Known Population [P_o]			+10% -10%
✖Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.ⓘ Number of Decades [n]			+10% -10%

✖Average % Growth Rate in the geometric increase method is usually found by the arithmetic mean or geometric mean which is the maximum.ⓘ Average Percentage Increase given Future Population from Geometrical Increase Method [r]

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Average Percentage Increase given Future Population from Geometrical Increase Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/Number of Decades)-1)*100
r = ((P_n/P_o)^(1/n)-1)*100
This formula uses 4 Variables

Variables Used

Average % Growth Rate - Average % Growth Rate in the geometric increase method is usually found by the arithmetic mean or geometric mean which is the maximum.
Forecasted Population - Forecasted Population is the population forested usually after n decade or after n years.
Last Known Population - Last Known Population is the population of any area of the previous year or decade.
Number of Decades - Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.

STEP 1: Convert Input(s) to Base Unit

Forecasted Population: 350000 --> No Conversion Required
Last Known Population: 275000 --> No Conversion Required
Number of Decades: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = ((P_n/P_o)^(1/n)-1)*100 --> ((350000/275000)^(1/2)-1)*100

Evaluating ... ...

r = 12.8152149635532

STEP 3: Convert Result to Output's Unit

12.8152149635532 --> No Conversion Required

FINAL ANSWER

12.8152149635532 ≈ 12.81521 <-- Average % Growth Rate

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Geometric Increase Method Calculators

Average Percentage Increase given Future Population from Geometrical Increase Method

LaTeX Go Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/Number of Decades)-1)*100

Present Population given Future Population from Geometrical Increase Method

LaTeX Go Last Known Population = Forecasted Population/(1+(Average % Growth Rate/100))^Number of Decades

Future Population at End of n Decades in Geometrical Increase Method

LaTeX Go Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^Number of Decades

Future Population at End of 2 Decades in Geometrical Increase Method

LaTeX Go Forecasted Population = Last Known Population*(1+(Average % Growth Rate/100))^2

Average Percentage Increase given Future Population from Geometrical Increase Method Formula

LaTeX Go

Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/Number of Decades)-1)*100
r = ((P_n/P_o)^(1/n)-1)*100

What is Population Forecasting and Methods Involved?

Population forecasting is defined as the method of determining the expected population for a particular design period of a water supply system with the help of the study and analysis of future events and available records.
Methods are
1. Arithmetic Increase Method
2. Geometric Increase Method
3. Incremental Increase Method
4. Decrease Growth Rate Method
5. Logistic Curve Method
6. Demographic Method
7. Simple Graphical Method
8. Comparative Graphical Method
9. Master Plan Method
10. Ratio Method

What is Geometric Increase Method?

In this method, the per-decade percentage increase or percentage growth rate (r) is assumed to be constant, and the increase is compounded over the existing population every decade.
It is also known as the uniform increase method.

How to Calculate Average Percentage Increase given Future Population from Geometrical Increase Method?

Average Percentage Increase given Future Population from Geometrical Increase Method calculator uses Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/Number of Decades)-1)*100 to calculate the Average % Growth Rate, The Average Percentage Increase given Future Population from Geometrical Increase Method formula is defined as the average percentage increase when we have prior information of other parameters used. Average % Growth Rate is denoted by r symbol.

How to calculate Average Percentage Increase given Future Population from Geometrical Increase Method using this online calculator? To use this online calculator for Average Percentage Increase given Future Population from Geometrical Increase Method, enter Forecasted Population (P_n), Last Known Population (P_o) & Number of Decades (n) and hit the calculate button. Here is how the Average Percentage Increase given Future Population from Geometrical Increase Method calculation can be explained with given input values -> 12.81521 = ((350000/275000)^(1/2)-1)*100.

FAQ

What is Average Percentage Increase given Future Population from Geometrical Increase Method?

The Average Percentage Increase given Future Population from Geometrical Increase Method formula is defined as the average percentage increase when we have prior information of other parameters used and is represented as r = ((P_n/P_o)^(1/n)-1)*100 or Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/Number of Decades)-1)*100. Forecasted Population is the population forested usually after n decade or after n years, Last Known Population is the population of any area of the previous year or decade & Number of Decades is the year gap of 10 years. Usually, 10 years is equal to 1 decade.

How to calculate Average Percentage Increase given Future Population from Geometrical Increase Method?

The Average Percentage Increase given Future Population from Geometrical Increase Method formula is defined as the average percentage increase when we have prior information of other parameters used is calculated using Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/Number of Decades)-1)*100. To calculate Average Percentage Increase given Future Population from Geometrical Increase Method, you need Forecasted Population (P_n), Last Known Population (P_o) & Number of Decades (n). With our tool, you need to enter the respective value for Forecasted Population, Last Known Population & Number of Decades and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Average % Growth Rate?

In this formula, Average % Growth Rate uses Forecasted Population, Last Known Population & Number of Decades. We can use 2 other way(s) to calculate the same, which is/are as follows -

Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/2)-1)*100
Average % Growth Rate = ((Forecasted Population/Last Known Population)^(1/3)-1)*100

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