find two numbers such that their mean proportional is 15 and third proportional to them is 405
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Answer:
Let a, b be the required numbers .
Given, Mean proportional = 28
√ab = 28
ab = 28² = 784 .
a = 784/b
Also, Given Third proportional " c " = 224 .
We know that, ac = b²
So. c = b²/a
But we know that c = 224 .
224 = b²/a.
Substitute the value of " a "
224(784/b) = b²
b³ = 224(784) = 175616
b = 56 .
We know that,
ab = 784
56a = 784
a = 14 .
Therefore, Required numbers are 14 , 56 .
Hope it helped you!!
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