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Finding the Third Proportional to 86,684 and 129,675

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Solution

The third proportional to 86,684 and 129,675 is: 193,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684 : 129,675 = 129,675 : x
  2. Step 2: Convert to fraction form
    86,684/129,675 = 129,675/x
  3. Step 3: Cross multiply
    86,684x = 129,675 × 129,675
  4. Step 4: Simplify right side
    86,684x = 16,815,605,625
  5. Step 5: Solve for x
    x = 16,815,605,625/86,684
  6. Step 6: Final answer
    x = 193,987.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.