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# Find The Mean Proportional to (X – Y) and (X3 – X2y). - Mathematics

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#### Question

Find the mean proportional to (x – y) and (x3 – x2y).

#### Solution

Let the mean proportional to (x - y) and (x^3 - x^2y) be n

=> (x - y), n, (x^3 - x^2y) are in continued proportional

=> (x - y) : n = n : (x^3 - x^2y)

=> n^2 = x^2(x - y)(x - y)

=> n^2 = x^2(x - y)^2

=> n = x(x - y)

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#### APPEARS IN

Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(D) | Q: 9.3 | Page no. 102

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Solution Find The Mean Proportional to (X – Y) and (X3 – X2y). Concept: Proportions.
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