Ratio & Proportion

A ratio compares two quantities, like 2 boys to 3 girls, written as 2 ratio 3. A proportion says two ratios are equal, like 2 by 3 equals 4 by 6. The tool simplifies ratios to lowest terms and also solves proportions where one of the four values is missing.

Enter the total amount and the ratio. For 12,000 rupees split in the ratio 2 ratio 3 ratio 5, the calculator gives 2400, 3600 and 6000. This is exactly the kind of question that comes up in business partnership accounting and profit-sharing in Indian board exams.

Cross-multiply: 3 times 20 equals 4 times x, so x is 15. This tool does the cross-multiplication for you. Just leave the unknown box blank and fill the other three. It is handy for unitary-method problems, recipe scaling, and map-distance conversions.

They are close but not identical. The ratio 2 ratio 3 and the fraction 2 by 3 both express a relation, but the ratio compares two parts of a whole while the fraction compares a part to the whole. So 2 boys to 3 girls is ratio 2 ratio 3, but the fraction of boys is 2 by 5.

Decimals are converted to whole-number ratios by multiplying both sides. So 1.5 ratio 2 becomes 3 ratio 4. Negative numbers are unusual in real ratios but the tool still simplifies them mathematically. In practice, prices, ages and quantities are positive, so check your inputs if a negative appears.

Yes. Say your dal recipe uses water to dal in the ratio 3 ratio 1 and you have 250 g dal. The proportion mode gives 750 ml water in one tap. The same idea works for two-stroke fuel mixes, paint shades, or scaling a sweet recipe from 1 kg khoya to 1.5 kg for a function.