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Finding the Third Proportional to 39,870 and 84,599

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Solution

The third proportional to 39,870 and 84,599 is: 179,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870 : 84,599 = 84,599 : x
  2. Step 2: Convert to fraction form
    39,870/84,599 = 84,599/x
  3. Step 3: Cross multiply
    39,870x = 84,599 × 84,599
  4. Step 4: Simplify right side
    39,870x = 7,156,990,801
  5. Step 5: Solve for x
    x = 7,156,990,801/39,870
  6. Step 6: Final answer
    x = 179,508.17

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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.