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Geometric Mean of Three Numbers Calculator

Verified formula Updated Jun 2026 Private — runs on your device

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Verified formula Private

Geometric mean

4.0000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Geometric Mean of Three Numbers Calculator

The Geometric Mean of Three Numbers Calculator works out your geometric mean in an instant. Enter first number, second number and third number and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the first number.
  2. Enter the second number.
  3. Enter the third number.
  4. Read off your geometric mean — the calculator updates automatically, with no button to press.

Formula

The Geometric Mean of Three Numbers Calculator uses the formula:

Geometric mean = (First number × Second number × Third number)^(1 ÷ 3)

Worked example

For example, with first number of 2, second number of 4 and third number of 8, the geometric mean is 4.0000.

Inputs used
First number 2
Second number 4
Third number 8
Results
Geometric mean 4.0000

Results are estimates for educational use, not professional advice.

Key terms explained

Mean
The average of a set of numbers — their sum divided by how many there are.

Frequently asked questions

Multiply them and take the cube root. For 2, 4 and 8 the product is 64, and its cube root is 4.

For averaging growth rates, ratios and other values that combine by multiplication.

The standard geometric mean needs non-negative numbers, since the product must be valid under the root.

The geometric mean is never larger than the arithmetic mean and is less swayed by one large value.

The Geometric Mean of Three Numbers Calculator uses the formula: Geometric mean = (First number × Second number × Third number)^(1 ÷ 3). For example, with first number of 2, second number of 4 and third number of 8, the geometric mean is 4.0000.

Enter the first number. Enter the second number. Enter the third number. Read off your geometric mean — the calculator updates automatically, with no button to press.

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