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A ratio is a fraction that compares two numbers. The ratio of x to y is written as x : y. It is a relationship of part to part. RATIOS COMPARE PART TO PART, NOT PART TO WHOLE. If the Yankees win 100 out of 169 games, what is their ratio of wins to losses? If they win 100 games, they lost 69 games. So the win/loss ratio is 100:69. The fraction of games won would be 100/169. Ratios are usually used to compare quantities of the same type, for example, the ratio of the length of a Toyota to the length of a Cadillac. We would not form the ratio of the length of a Toyota to the cost of a Cadillac. Proportions A proportion states that two ratios are equal. Two ratios involve four numbers: two numerators and two denominators. You can solve for one of these numbers by equaling the two ratios, such as:
The unknown x is then found by cross multiplying:
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