Write the proportion 5 is to 8 as 15 is to 24

5/8 = 15/24 correct?

correct.

In the olden days, it was written
5:8::15:24

You still see it that way often enough
The above equation reads..
five is to eight as 15 is to 24.

ty

To determine if two ratios are proportional, we need to check if the cross products are equal.

The first ratio is 5 is to 8, written as 5/8.
The second ratio is 15 is to 24, written as 15/24.

To find the cross products, we multiply the numerator of the first ratio (5) with the denominator of the second ratio (24) and vice versa.

Cross product 1: (5 * 24) = 120
Cross product 2: (8 * 15) = 120

Since both cross products are equal to 120, we can conclude that the proportion 5 is to 8 as 15 is to 24 is correct.

To determine if the proportion 5 is to 8 as 15 is to 24 is correct, we can cross-multiply and check if the equality holds.

Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and then multiplying the denominator of the first fraction with the numerator of the second fraction. If the results are equal, then the proportions are equivalent.

For the given proportion:
5/8 = 15/24

Cross-multiplying:
5 * 24 = 8 * 15

The left-hand side (LHS) equals 120, and the right-hand side (RHS) also equals 120. Since LHS = RHS, we can conclude that the proportion is correct:

5/8 = 15/24

Therefore, the proportion is indeed correct.