Ratio Calculator

Solve a : b = c : x for x.

Result —

How it works

x = b × c ÷ a

Proportions are solved by cross-multiplication: a·x = b·c, so x = b·c ÷ a.

Worked example

Given 3 : 4 = 15 : x, x = 4 × 15 ÷ 3 = 20.

Split 60 in the ratio 2:3: five parts, 12 each, giving 24 and 36.

Notes and limitations

The key property: multiplying or dividing both sides keeps the ratio. For sharing problems, find the total number of parts first. Remember a:b corresponds to a/(a+b) as a fraction.

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