I need an answer to the analogy

fifteen:five::nine: ?

fifteen divided by five is three.

To complete the analogy, divide nine by three. (Your answer is three)

If the "analogy" is to preserve ratios on both sides, then the answer is 3. If the analogy is to preserve the difference, the answer is -1.

This is not a good way to teach fifth grade math, or analogies, in my opinion. The problem would be better stated as
15/5 = 9/x

To solve this analogy, we need to identify the relationship between the first pair of numbers (fifteen and five) and apply the same relationship to the second pair of numbers (nine and the unknown term).

The relationship between fifteen and five can be determined by dividing fifteen by three, resulting in five. Therefore, the relationship between the two numbers in the first pair is that one number is three times the other.

To find the unknown term for the second pair, we can apply the same relationship. We multiply nine by three, which gives us twenty-seven. Therefore, the answer to the analogy "fifteen:five::nine:?" is twenty-seven.