Calcoid

Proportion Calculator

Solve proportions and equivalent ratios by finding the missing value in a:b = c:d.

Solve a proportion (a/b = c/d)

Fill in any three values and leave the unknown term blank. The calculator solves for the missing term by cross multiplication.

=

d =

8

Solved proportion: 3 / 4 = 6 / 8

Left ratio (a / b)

0.75

Right ratio (c / d)

0.75

Cross product (a x d)

24

Cross product (b x c)

24

Frequently Asked Questions about the Proportion Calculator

What is a proportion?
A proportion is a statement that two ratios are equal, written a/b = c/d. For example, 3/4 = 6/8 because both ratios equal 0.75. When you know three of the four terms, you can solve for the fourth.
How does the calculator solve for the missing term?
It uses cross multiplication. From a/b = c/d the cross product a times d equals b times c. To isolate the unknown, it rearranges that identity: for the missing d it computes (b times c) divided by a, and the same pattern applies to a, b, or c.
How do I use this calculator?
Enter any three of the four terms (a, b, c, d) and leave the one you want to find blank. The calculator fills in the missing value, shows the completed proportion, and reports both ratios as decimals so you can check they match.
Why do I sometimes get no answer?
Solving for a term requires dividing by another term, so that divisor cannot be zero. For example, solving for d in 0/4 = 6/d has no finite answer because it would require dividing by a, which is 0. You also need exactly one blank field, not two.
Can I use negative numbers or decimals?
Yes. The calculator accepts any finite real numbers, including negatives and decimals, so 2/5 = c/12 returns c = 4.8. Results are rounded to six decimal places to keep long fractions readable.
Is this the same as the rule of three?
Yes. Cross multiplication is the formal version of the rule of three you learn in school. Both find a fourth proportional value from three known terms, which is handy for scaling recipes, converting map distances, or adjusting mixture ratios.

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