Proportionality Factor for Geometric Increase Method Calculator

✖The Population at Mid Year Census refers to the population at the mid year census date.ⓘ Population at Mid Year Census [P_M]			+10% -10%
✖The Population at Earlier Census refers to the population at the earlier census date.ⓘ Population at Earlier Census [P_E]			+10% -10%
✖The Mid-Year Census Date refers to the date at which population is noted.ⓘ Mid-Year Census Date [T_M]			+10% -10%
✖The Earlier Census Date refers to the date at which the population is noted.ⓘ Earlier Census Date [T_E]			+10% -10%

✖Proportionality Factor is defined as rate of change of population.ⓘ Proportionality Factor for Geometric Increase Method [K_G]

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Proportionality Factor for Geometric Increase Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)
K_G = (log10(P_M)-log10(P_E))/(T_M-T_E)
This formula uses 1 Functions, 5 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Proportionality Factor - Proportionality Factor is defined as rate of change of population.
Population at Mid Year Census - The Population at Mid Year Census refers to the population at the mid year census date.
Population at Earlier Census - The Population at Earlier Census refers to the population at the earlier census date.
Mid-Year Census Date - The Mid-Year Census Date refers to the date at which population is noted.
Earlier Census Date - The Earlier Census Date refers to the date at which the population is noted.

STEP 1: Convert Input(s) to Base Unit

Population at Mid Year Census: 40 --> No Conversion Required
Population at Earlier Census: 22 --> No Conversion Required
Mid-Year Census Date: 29 --> No Conversion Required
Earlier Census Date: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_G = (log10(P_M)-log10(P_E))/(T_M-T_E) --> (log10(40)-log10(22))/(29-20)

Evaluating ... ...

K_G = 0.0288485900561951

STEP 3: Convert Result to Output's Unit

0.0288485900561951 --> No Conversion Required

FINAL ANSWER

0.0288485900561951 ≈ 0.028849 <-- Proportionality Factor

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Proportionality Factor for Geometric Increase Method

LaTeX Go Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)

Mid Year Census Date for Geometric Increase Method

LaTeX Go Mid-Year Census Date = Earlier Census Date+((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor)

Population at Earlier Census for Geometric Increase Method

LaTeX Go Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))

Population at Mid Year for Geometric Increase Method

LaTeX Go Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))

Proportionality Factor for Geometric Increase Method Formula

LaTeX Go

Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)
K_G = (log10(P_M)-log10(P_E))/(T_M-T_E)

What is Geometric Increase Method?

The Geometric Increase Method is the population forecasting method in which the percentage increase in population from decade to decade is assumed to remain constant.It is also known as the logarithmic growth method or exponential growth method.

How to Calculate Proportionality Factor for Geometric Increase Method?

Proportionality Factor for Geometric Increase Method calculator uses Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date) to calculate the Proportionality Factor, The Proportionality Factor for Geometric Increase Method is defined as the proportionality factor when we have prior information of other parameters used. Proportionality Factor is denoted by K_G symbol.

How to calculate Proportionality Factor for Geometric Increase Method using this online calculator? To use this online calculator for Proportionality Factor for Geometric Increase Method, enter Population at Mid Year Census (P_M), Population at Earlier Census (P_E), Mid-Year Census Date (T_M) & Earlier Census Date (T_E) and hit the calculate button. Here is how the Proportionality Factor for Geometric Increase Method calculation can be explained with given input values -> 0.028849 = (log10(40)-log10(22))/(29-20).

FAQ

What is Proportionality Factor for Geometric Increase Method?

The Proportionality Factor for Geometric Increase Method is defined as the proportionality factor when we have prior information of other parameters used and is represented as K_G = (log10(P_M)-log10(P_E))/(T_M-T_E) or Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date). The Population at Mid Year Census refers to the population at the mid year census date, The Population at Earlier Census refers to the population at the earlier census date, The Mid-Year Census Date refers to the date at which population is noted & The Earlier Census Date refers to the date at which the population is noted.

How to calculate Proportionality Factor for Geometric Increase Method?

The Proportionality Factor for Geometric Increase Method is defined as the proportionality factor when we have prior information of other parameters used is calculated using Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date). To calculate Proportionality Factor for Geometric Increase Method, you need Population at Mid Year Census (P_M), Population at Earlier Census (P_E), Mid-Year Census Date (T_M) & Earlier Census Date (T_E). With our tool, you need to enter the respective value for Population at Mid Year Census, Population at Earlier Census, Mid-Year Census Date & Earlier Census Date and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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