Question
What is the mean proportional between the fourth
proportionals of (1 , 2, 7) and (14, 16, 2401 )?Solution
Let fourth term in 1st case be x and in 2nd case be y 1/2 = 7/x ⇒ x = 14 14/16 = 2401/y ⇒ y = 2744 Now, Mean proportion = √(14 × 2744) ⇒ 196 ∴ Required answer is 196
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