Harmonic Mean of Three Numbers Table: Harmonic mean by First number
Reference table of harmonic mean for Harmonic Mean of Three Numbers across a range of first number values — exact, engine-computed figures you can read off at a glance.
Harmonic Mean of Three Numbers Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Harmonic mean
3.4286
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Harmonic Mean of Three Numbers Calculator
The Harmonic Mean of Three Numbers Calculator works out your harmonic 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.
- Enter the first number.
- Enter the second number.
- Enter the third number.
- Read off your harmonic mean — the calculator updates automatically, with no button to press.
Formula
The Harmonic Mean of Three Numbers Calculator uses the formula:
Harmonic mean = 3 ÷ (1 ÷ First number + 1 ÷ Second number + 1 ÷ Third number)
Worked example
For example, with first number of 2, second number of 4 and third number of 8, the harmonic mean is 3.4286.
| First number | 2 |
|---|---|
| Second number | 4 |
| Third number | 8 |
| Harmonic mean | 3.4286 |
|---|
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
Divide 3 by the sum of the reciprocals. For 2, 4 and 8 it is about 3.43.
For averaging rates or ratios, such as speeds over equal distances.
The harmonic mean is always less than or equal to the arithmetic mean and leans toward smaller values.
No. The harmonic mean uses reciprocals, so all values must be greater than zero.
The Harmonic Mean of Three Numbers Calculator uses the formula: Harmonic mean = 3 ÷ (1 ÷ First number + 1 ÷ Second number + 1 ÷ Third number). For example, with first number of 2, second number of 4 and third number of 8, the harmonic mean is 3.4286.
Enter the first number. Enter the second number. Enter the third number. Read off your harmonic mean — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Harmonic Mean of Three Numbers: Formula, Steps & Examples
Learn how to calculate Harmonic Mean of Three Numbers — the formula explained step by step, with worked examples and a free calculator to check your answer.