Rule of Three Calculator

Enter the three known values and choose the type of proportion.

What’s wrong?

Add this calculator to your website or blog

Copy this code and paste it into your page (in the HTML editor). Free, and it adjusts its height automatically.

How it is calculated

Direct: X = B × C ÷ A Inverse: X = A × B ÷ C
  • Direct: as the first grows, the second grows in the same ratio (quantity and price).
  • Inverse: as the first grows, the second shrinks (workers and time to finish).

Worked example

Direct: 3 kg cost 45 — what do 5 kg cost? X = 45 × 5 ÷ 3 = 75. Inverse: 4 workers finish a job in 12 days — how long for 6? X = 4 × 12 ÷ 6 = 8 days.

Frequently asked questions

Direct or inverse?
Ask: if I double the first, does the second double (direct) or halve (inverse)?
Does it work for percentages?
Yes: if 200 is 100%, what % is 50? X = 100 × 50 ÷ 200 = 25%.
What is cross multiplication?
The same thing — solving a/b = c/x by multiplying across.

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