NTPC Graduate Tier 1

2025

Shift-3

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Ratio and Proportion

Mean Proportion

EN हिंदी

✕

NTPC Graduate Tier 1 2025 Shift-3 📅 06 Jun, 2025

If 276 is the mean proportion between x and 368, what is the value of x?

A

207

B

205

C

209

D

208

Result Summary

APEDIA

NTPC Graduate Tier 1

2025 • 06 Jun, 2025 • Shift-3

If 276 is the mean proportion between x and 368, what is the value of x?

Correct Answer

207

Mean Proportion Definition: The mean proportion 'm' between two numbers 'a' and 'b' satisfies the relationship $a / m = m / b$, which implies $m^2 = a \times b$......

💡 Analysis & Explanation

Mean Proportion Definition ▼

The mean proportion 'm' between two numbers 'a' and 'b' satisfies the relationship $a / m = m / b$, which implies $m^2 = a \times b$.

Equation Setup ▼

In this problem, 276 is the mean proportion between x and 368. Therefore, $276^2 = x \times 368$.

Solving for x ▼

We can isolate x by dividing: $x = (276 \times 276) / 368$. Let's simplify. Both 276 and 368 are divisible by 4. $276/4 = 69$. $368/4 = 92$. So, $x = (69 \times 276) / 92$. Now, both 92 and 276 are divisible by 92. $276 / 92 = 3$. Therefore, $x = 69 \times 3 = 207$.

Conclusion ▼

The value of x is exactly 207.