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The relationship between Arithmetic Mean (A), Geometric Mean (G) and Harmonic Mean (H) is:

  • A.\(a^2 = gh\)
  • B.\(g^2 = ah\)
  • C.\(h^2 = ag\)
  • D.\(g = (a+h)/2\)

Answer: B

For two positive numbers the three means satisfy

\[ G^{2} = AH \]

Checking with 4 and 6: \( A = 5 \), \( G = \sqrt{24} \), \( H = 4.8 \), and \( 24 = 5 \times 4.8 \). The order is always \( A \geq G \geq H \).

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