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Finding the Third Proportional to 87,311.50 and 129,329

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Solution

The third proportional to 87,311.50 and 129,329 is: 191,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,311.50 : 129,329 = 129,329 : x
  2. Step 2: Convert to fraction form
    87,311.50/129,329 = 129,329/x
  3. Step 3: Cross multiply
    87,311.50x = 129,329 × 129,329
  4. Step 4: Simplify right side
    87,311.50x = 16,725,990,241
  5. Step 5: Solve for x
    x = 16,725,990,241/87,311.50
  6. Step 6: Final answer
    x = 191,566.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.