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Finding the Third Proportional to 16,409 and 25,457

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Solution

The third proportional to 16,409 and 25,457 is: 39,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409 : 25,457 = 25,457 : x
  2. Step 2: Convert to fraction form
    16,409/25,457 = 25,457/x
  3. Step 3: Cross multiply
    16,409x = 25,457 × 25,457
  4. Step 4: Simplify right side
    16,409x = 648,058,849
  5. Step 5: Solve for x
    x = 648,058,849/16,409
  6. Step 6: Final answer
    x = 39,494.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.