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Finding the Third Proportional to 38,678 and 81,931

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Solution

The third proportional to 38,678 and 81,931 is: 173,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678 : 81,931 = 81,931 : x
  2. Step 2: Convert to fraction form
    38,678/81,931 = 81,931/x
  3. Step 3: Cross multiply
    38,678x = 81,931 × 81,931
  4. Step 4: Simplify right side
    38,678x = 6,712,688,761
  5. Step 5: Solve for x
    x = 6,712,688,761/38,678
  6. Step 6: Final answer
    x = 173,553.15

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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.