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Finding the Third Proportional to 38,387 and 82,605

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Solution

The third proportional to 38,387 and 82,605 is: 177,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,387 : 82,605 = 82,605 : x
  2. Step 2: Convert to fraction form
    38,387/82,605 = 82,605/x
  3. Step 3: Cross multiply
    38,387x = 82,605 × 82,605
  4. Step 4: Simplify right side
    38,387x = 6,823,586,025
  5. Step 5: Solve for x
    x = 6,823,586,025/38,387
  6. Step 6: Final answer
    x = 177,757.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.