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Question

Find the mean proportional between 4 and 900.

The correct answer is

60

Given Information:

Two numbers = 4, 900

Concept: The mean proportional between two numbers a and b is √(ab).

Solution:

⇒ Mean proportional = √(4 x 900) = 60

Therefore, the mean proportional between 4 and 900 is 60.

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Important Questions from Mean Proportional

  1. What number must be added to each of the numbers 15, 9 and 5 so that the resulting numbers may be in a continued proportion ?

  2. When x is subtracted from each of 43, 38, 11 and 10, then the numbers so obtained in this order are in proportion. What is the mean proportional between (11x + 3) and (9x - 2) ?

  3. If 22, x, 88 are in a continued proportion, find the value of x.

    A. 24

    B. 33

    C. 44

    D. 36

  4. The arithmetic mean and geometric mean of two numbers are 7 and 2√10 respectively, then find the numbers.

  5. When x is subtracted from each of 24, 30, 36 and 46, the numbers so obtained in this order, are in proportion. What is the mean proportional between (2x + 3) and (3x + 2)?

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