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Finding the Third Proportional to 38,306 and 81,238

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Solution

The third proportional to 38,306 and 81,238 is: 172,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,306 : 81,238 = 81,238 : x
  2. Step 2: Convert to fraction form
    38,306/81,238 = 81,238/x
  3. Step 3: Cross multiply
    38,306x = 81,238 × 81,238
  4. Step 4: Simplify right side
    38,306x = 6,599,612,644
  5. Step 5: Solve for x
    x = 6,599,612,644/38,306
  6. Step 6: Final answer
    x = 172,286.66

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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.