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# Find the Mean Proportional Between a - B And A^3 - A^2b - Mathematics

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#### Question

Find the mean proportional between a - b and a^3 - a^2b

#### Solution

Let the mean proportional between a – b and a3 – a2b be x.
⇒ a – b, x, a3 – a2b are in continued proportion.
⇒ a – b : x = x : a3 – a2b
⇒ x × x = (a – b) (a3 – a2b)
⇒ x2 = (a – b) a2(a – b) = [a(a – b)]2
⇒ x = a(a – b)

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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(B) | Q: 3.2 | Page no. 94