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Finding the Third Proportional to 83,286 and 108,081

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Solution

The third proportional to 83,286 and 108,081 is: 140,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286 : 108,081 = 108,081 : x
  2. Step 2: Convert to fraction form
    83,286/108,081 = 108,081/x
  3. Step 3: Cross multiply
    83,286x = 108,081 × 108,081
  4. Step 4: Simplify right side
    83,286x = 11,681,502,561
  5. Step 5: Solve for x
    x = 11,681,502,561/83,286
  6. Step 6: Final answer
    x = 140,257.70

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.