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Find two numbers such that the mean proportional between them is 28 and the third proportional to them is 224.

Option 1 -

14 & 56

Option 2 -

28 & 56

Option 3 -

7 & 28      

Option 4 -

14 & 28

0 1 View | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • R

    Answered by

    Raj Pandey | Contributor-Level 9

    a month ago
    Correct Option - 1


    Detailed Solution:

    Let the numbers be x & y

    (mean proportion)2 = xy.

    So, xy = 784

    x = 7 8 4 y  .… (1)

    x, y and 224 are in continued proportion

    y2 = 224 x .… (2)

    y2 = 224 * 7 8 4 y

    y3 = 14 * 16 * 28 * 28

    y = 56 and x = 14

    Alternate Method

    Use options and check.

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