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If X + 5 is the Mean Proportional Between X + 2 and X + 9; Find the Value of X. - ICSE Class 10 - Mathematics

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Question

If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x.

Solution

Given, x + 5 is the mean proportional between x + 2 and x + 9.
⇒ (x + 2), (x + 5) and (x + 9) are in continued proportion.
⇒ (x + 2) : (x + 5) = (x + 5) : (x + 9)
⇒ (x + 5)2 = (x + 2)(x + 9)
⇒ x2 + 25 + 10x = x2 + 2x + 9x + 18
⇒ 25 – 18 = 11x – 10x
⇒ x = 7

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APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7B | Q: 4

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Solution If X + 5 is the Mean Proportional Between X + 2 and X + 9; Find the Value of X. Concept: Proportions.
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