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Finding the Third Proportional to 40,408 and 54,355

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Solution

The third proportional to 40,408 and 54,355 is: 73,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,408 : 54,355 = 54,355 : x
  2. Step 2: Convert to fraction form
    40,408/54,355 = 54,355/x
  3. Step 3: Cross multiply
    40,408x = 54,355 × 54,355
  4. Step 4: Simplify right side
    40,408x = 2,954,466,025
  5. Step 5: Solve for x
    x = 2,954,466,025/40,408
  6. Step 6: Final answer
    x = 73,115.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.