Question : The third proportional to 4 and 6 is:
Option 1: 9
Option 2: 16
Option 3: 6
Option 4: 36
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Correct Answer: 9
Solution : The third proportional to $a$ and $b$ = $\frac{b^2}{a}$ The third proportional to 4 and 6 = $\frac{6^2}{4}$ = $\frac{36}{4}$ = 9 Hence, the correct answer is 9.
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Question : Directions: By interchanging two numbers the equation will be correct. 3 × 9 – 4 ÷ 2 + 6 = 28
Question : If the third proportion of 3 and $x$ is 27 and the third proportion of 2 and $y$ is 8, then find $x : y$.
Question : The first, third and fourth terms of a proportion are 8, 16, and 6 respectively. What is the second term?
Question : Directions: If 4 @ 9 # 3 = –2, and 11 # 2 @ 6 = 7, then 14 @ 3 # 7 = ?
Question : Of the three numbers, the first is twice the second, and the second is twice the third. The average of the reciprocal of the numbers is $\frac{7}{12}$. The numbers are:
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