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Finding the Third Proportional to 38,338 and 81,292

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Solution

The third proportional to 38,338 and 81,292 is: 172,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338 : 81,292 = 81,292 : x
  2. Step 2: Convert to fraction form
    38,338/81,292 = 81,292/x
  3. Step 3: Cross multiply
    38,338x = 81,292 × 81,292
  4. Step 4: Simplify right side
    38,338x = 6,608,389,264
  5. Step 5: Solve for x
    x = 6,608,389,264/38,338
  6. Step 6: Final answer
    x = 172,371.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.