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Finding the Third Proportional to 83,952 and 131,031

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Solution

The third proportional to 83,952 and 131,031 is: 204,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952 : 131,031 = 131,031 : x
  2. Step 2: Convert to fraction form
    83,952/131,031 = 131,031/x
  3. Step 3: Cross multiply
    83,952x = 131,031 × 131,031
  4. Step 4: Simplify right side
    83,952x = 17,169,122,961
  5. Step 5: Solve for x
    x = 17,169,122,961/83,952
  6. Step 6: Final answer
    x = 204,511.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.