A number b is said to be mean proportional of two numbers a and c ifb2 = ac.∴ From the definition of mean proportion, we get:(28 - x)2 = (23 - x)(19 - x)⇒ 784 + x2 – 56x = 437 - 42x + x2⇒-56x + 42x = 437 – 784⇒ -14x= -347⇒ x = 347/14

Q. 24.1( 48 Votes )

If (28 - x) is th

Class 9th MHB - Math Part-I 4. Ratio and Proportion

Answer :

A number b is said to be mean proportional of two numbers a and c if

b² = ac.

∴ From the definition of mean proportion, we get:

(28 - x)² = (23 - x)(19 - x)

⇒ 784 + x² – 56x = 437 - 42x + x²

⇒-56x + 42x = 437 – 784

⇒ -14x= -347

⇒ x = 347/14

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