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Find the two numbers such that their mean proportion is 12 and the third proportion be 96.
- a)1, 24
- b)6, 24
- c)8, 18
- d)12, 12
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Find the two numbers such that their mean proportion is 12 and the thi...
Let the two numbers be x and y
xy = 122 = 144 ⇒ x = 144/y
x : y = y : 96
x × 96 = y2
144/y × 96 = y2
y3 = 144 × 96
⇒ y = 24
x = 144/24 = 6
xy = 122 = 144 ⇒ x = 144/y
x : y = y : 96
x × 96 = y2
144/y × 96 = y2
y3 = 144 × 96
⇒ y = 24
x = 144/24 = 6
Most Upvoted Answer
Find the two numbers such that their mean proportion is 12 and the thi...
Mean Proportion:
The mean proportion between two numbers is the square root of their product. Let's assume the two numbers as x and y.
Mean Proportion:
The mean proportion between x and y can be represented as √(x * y).
Third Proportion:
The third proportion is the product of the mean proportion and the second number. In this case, the third proportion is 96.
Equation:
We can set up the following equation based on the given information:
√(x * y) = 12
12y = 96
Simplifying the Equation:
From the second equation, we can solve for y:
y = 96/12
y = 8
Substituting this value of y into the first equation:
√(x * 8) = 12
√8x = 12
Squaring both sides:
8x = 12^2
8x = 144
Solving for x:
x = 144/8
x = 18
Conclusion:
The two numbers are 6 and 24, which corresponds to option B.
The mean proportion between two numbers is the square root of their product. Let's assume the two numbers as x and y.
Mean Proportion:
The mean proportion between x and y can be represented as √(x * y).
Third Proportion:
The third proportion is the product of the mean proportion and the second number. In this case, the third proportion is 96.
Equation:
We can set up the following equation based on the given information:
√(x * y) = 12
12y = 96
Simplifying the Equation:
From the second equation, we can solve for y:
y = 96/12
y = 8
Substituting this value of y into the first equation:
√(x * 8) = 12
√8x = 12
Squaring both sides:
8x = 12^2
8x = 144
Solving for x:
x = 144/8
x = 18
Conclusion:
The two numbers are 6 and 24, which corresponds to option B.
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Find the two numbers such that their mean proportion is 12 and the third proportion be 96.a)1, 24b)6, 24c)8, 18d)12, 12Correct answer is option 'B'. Can you explain this answer?
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Find the two numbers such that their mean proportion is 12 and the third proportion be 96.a)1, 24b)6, 24c)8, 18d)12, 12Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Find the two numbers such that their mean proportion is 12 and the third proportion be 96.a)1, 24b)6, 24c)8, 18d)12, 12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the two numbers such that their mean proportion is 12 and the third proportion be 96.a)1, 24b)6, 24c)8, 18d)12, 12Correct answer is option 'B'. Can you explain this answer?.
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