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Finding the Third Proportional to 42,369 and 62,811

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Solution

The third proportional to 42,369 and 62,811 is: 93,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,369 : 62,811 = 62,811 : x
  2. Step 2: Convert to fraction form
    42,369/62,811 = 62,811/x
  3. Step 3: Cross multiply
    42,369x = 62,811 × 62,811
  4. Step 4: Simplify right side
    42,369x = 3,945,221,721
  5. Step 5: Solve for x
    x = 3,945,221,721/42,369
  6. Step 6: Final answer
    x = 93,115.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.