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# Find The Third Proportional to A2 – B2 And a + B. - ICSE Class 10 - Mathematics

#### Question

Find the third proportional to a2 – b2 and a + b.

#### Solution

Let the third proportional to a^2 - b^2 and a + b be  n

=> a^2 - b^2, a + b and n are in continued proportion

=> a^2 - b^2 :  a + b =  a _ b : n

=> n = (a + bh)^2/(a^2 - b^2) = (a + b)^2/((a + b)(a - b)) = (a + b)/(a - b)

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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.7D | Q: 9.2

#### Video TutorialsVIEW ALL [1]

Solution Find The Third Proportional to A2 – B2 And a + B. Concept: Proportions.
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