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    If 15,25,x are in proportion. Find the value of x.
    Question

    If 15,25,x are in proportion. Find the value of x.

    A.

    1203\frac{120}{3}​​

    B.

    1253\frac{125}{3}​​

    C.

    1453\frac{145}{3}​​

    D.

    1204\frac{120}{4}​​

    Correct option is B

    Given
    The numbers 15, 25, x are in continued proportion.

    Formula Used
    If three numbers a, b, c are in continued proportion, then ab=bc. \frac{a}{b} = \frac{b}{c}.​​

    Solution
    1525=25x\frac{15}{25} = \frac{25}{x}​​
    15×x=25×25 15x=625 x=62515 x=1253 15 \times x = 25 \times 25\\\ \\15x = 625\\\ \\x = \frac{625}{15}\\\ \\x = \frac{125}{3}\\\ \\​​
    Final Answer
    So the correct answer is (b)

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