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Geometric Mean of Three Numbers Calculator

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✖First Number is the first member in the set of numbers of which mean value is to be calculated.ⓘ First Number [n₁]			+10% -10%
✖Second Number is the second member in the set of numbers of which mean value is to be calculated.ⓘ Second Number [n₂]			+10% -10%
✖Third Number is the third member in the set of numbers of which mean value is to be calculated.ⓘ Third Number [n₃]			+10% -10%

✖Geometric Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.ⓘ Geometric Mean of Three Numbers [GM]

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Geometric Mean of Three Numbers Solution

STEP 0: Pre-Calculation Summary

Formula Used

Geometric Mean = (First Number*Second Number*Third Number)^(1/3)
GM = (n₁*n₂*n₃)^(1/3)
This formula uses 4 Variables

Variables Used

Geometric Mean - Geometric Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.
First Number - First Number is the first member in the set of numbers of which mean value is to be calculated.
Second Number - Second Number is the second member in the set of numbers of which mean value is to be calculated.
Third Number - Third Number is the third member in the set of numbers of which mean value is to be calculated.

STEP 1: Convert Input(s) to Base Unit

First Number: 40 --> No Conversion Required
Second Number: 60 --> No Conversion Required
Third Number: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GM = (n₁*n₂*n₃)^(1/3) --> (40*60*20)^(1/3)

Evaluating ... ...

GM = 36.3424118566428

STEP 3: Convert Result to Output's Unit

36.3424118566428 --> No Conversion Required

FINAL ANSWER

36.3424118566428 ≈ 36.34241 <-- Geometric Mean

(Calculation completed in 00.004 seconds)

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Created by Shivam Dixit

BSS Education Centre Kanpur (BSS College), Kanpur

Shivam Dixit has created this Calculator and 10+ more calculators!

Verified by Purnima T

Central University of Karnataka (CUK), Gulbarga

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< Geometric Mean Calculators

Geometric Mean of Three Numbers

LaTeX Go Geometric Mean = (First Number*Second Number*Third Number)^(1/3)

Geometric Mean given Arithmetic and Harmonic Means

LaTeX Go Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean)

Geometric Mean of Two Numbers

LaTeX Go Geometric Mean = sqrt(First Number*Second Number)

Geometric Mean of N Numbers

LaTeX Go Geometric Mean = (Geometric Product of Numbers)^(1/Total Numbers)

Geometric Mean of Three Numbers Formula

LaTeX Go

Geometric Mean = (First Number*Second Number*Third Number)^(1/3)
GM = (n₁*n₂*n₃)^(1/3)

What is Geometric Mean?

Geometric Mean is basically the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. If the set of numbers has total n numbers then the Geometric Mean is calculated by taking the nth root of the product of all the numbers. The Geometric Mean is often used for a set of numbers whose values are meant to be multiplied together or are exponential in nature, such as a set of growth figures: values of the human population or interest rates of a financial investment over time.

How to Calculate Geometric Mean of Three Numbers?

Geometric Mean of Three Numbers calculator uses Geometric Mean = (First Number*Second Number*Third Number)^(1/3) to calculate the Geometric Mean, Geometric Mean of Three Numbers formula is defined as the average value or mean which signifies the central tendency of the set of three numbers by finding the product of their values. Geometric Mean is denoted by GM symbol.

How to calculate Geometric Mean of Three Numbers using this online calculator? To use this online calculator for Geometric Mean of Three Numbers, enter First Number (n₁), Second Number (n₂) & Third Number (n₃) and hit the calculate button. Here is how the Geometric Mean of Three Numbers calculation can be explained with given input values -> 36.34241 = (40*60*20)^(1/3).

FAQ

What is Geometric Mean of Three Numbers?

Geometric Mean of Three Numbers formula is defined as the average value or mean which signifies the central tendency of the set of three numbers by finding the product of their values and is represented as GM = (n₁*n₂*n₃)^(1/3) or Geometric Mean = (First Number*Second Number*Third Number)^(1/3). First Number is the first member in the set of numbers of which mean value is to be calculated, Second Number is the second member in the set of numbers of which mean value is to be calculated & Third Number is the third member in the set of numbers of which mean value is to be calculated.

How to calculate Geometric Mean of Three Numbers?

Geometric Mean of Three Numbers formula is defined as the average value or mean which signifies the central tendency of the set of three numbers by finding the product of their values is calculated using Geometric Mean = (First Number*Second Number*Third Number)^(1/3). To calculate Geometric Mean of Three Numbers, you need First Number (n₁), Second Number (n₂) & Third Number (n₃). With our tool, you need to enter the respective value for First Number, Second Number & Third Number 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 Geometric Mean?

In this formula, Geometric Mean uses First Number, Second Number & Third Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Geometric Mean = sqrt(First Number*Second Number)
Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean)
Geometric Mean = (Geometric Product of Numbers)^(1/Total Numbers)

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