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Find two numbers such that their mean proportional is 18 and the third proportional to them is 144.1). 6 and 422). 9 and 363). 3 and 184). 6 and 12 |
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Answer» Let the NUMBERS are x and y, Mean proportional = √xy = 18 ⇒ xy = 324---- (1) THIRD proportional = y2/x = 144 ⇒ y2 = 144x---- (2) Putting the value of x from this in 1st equation, ⇒ y3/144 = 324 ⇒ y3 = 324 × 144 ⇒ y3 = 18 × 18 × 18 × 8 ⇒ y = 18 × 2 ∴ Two numbers are 9 and 36. |
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