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Finding the Third Proportional to 39,982 and 81,339

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Solution

The third proportional to 39,982 and 81,339 is: 165,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,982 : 81,339 = 81,339 : x
  2. Step 2: Convert to fraction form
    39,982/81,339 = 81,339/x
  3. Step 3: Cross multiply
    39,982x = 81,339 × 81,339
  4. Step 4: Simplify right side
    39,982x = 6,616,032,921
  5. Step 5: Solve for x
    x = 6,616,032,921/39,982
  6. Step 6: Final answer
    x = 165,475.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.