Question

If (28-x) is the mean proportional of (23-x) and (19-x) then find the value of ?
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Answer 1

Step-by-step explanation:

28 – x) is the mean proportional of (23 – x) and (19-x). …[Given]

∴ -5(19 – x) = 9(28 – x)

∴ -95 + 5x = 252 – 9x

∴ 5x + 9x = 252 + 95

∴ 14x = 347

∴ x = 347/14.

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Answer 2

Answer:

347/14

Step-by-step explanation:

If a, b and c are in proportional:

    a/b = b/c     or ac = b²    

⇒ √ac = b

Where b is the mean proportional of a and c.

       Here,

⇒ √(23 - x )(19 - x) = (28 - x)

⇒ (23 - x)(19 - x) = (28 - x)²

⇒ 437 - 23x - 19x + x² = 784 + x² - 56x

⇒ 56x - 42x = 784 - 437

⇒ x = 347/14

  ∴ value of x is 347/14