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Finding the Third Proportional to 60,737 and 133,432

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Solution

The third proportional to 60,737 and 133,432 is: 293,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,737 : 133,432 = 133,432 : x
  2. Step 2: Convert to fraction form
    60,737/133,432 = 133,432/x
  3. Step 3: Cross multiply
    60,737x = 133,432 × 133,432
  4. Step 4: Simplify right side
    60,737x = 17,804,098,624
  5. Step 5: Solve for x
    x = 17,804,098,624/60,737
  6. Step 6: Final answer
    x = 293,134.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.