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Finding the Third Proportional to 86,591 and 129,539

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Solution

The third proportional to 86,591 and 129,539 is: 193,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,591 : 129,539 = 129,539 : x
  2. Step 2: Convert to fraction form
    86,591/129,539 = 129,539/x
  3. Step 3: Cross multiply
    86,591x = 129,539 × 129,539
  4. Step 4: Simplify right side
    86,591x = 16,780,352,521
  5. Step 5: Solve for x
    x = 16,780,352,521/86,591
  6. Step 6: Final answer
    x = 193,788.64

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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.