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Finding the Third Proportional to 87,590.50 and 133,573

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Solution

The third proportional to 87,590.50 and 133,573 is: 203,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,590.50 : 133,573 = 133,573 : x
  2. Step 2: Convert to fraction form
    87,590.50/133,573 = 133,573/x
  3. Step 3: Cross multiply
    87,590.50x = 133,573 × 133,573
  4. Step 4: Simplify right side
    87,590.50x = 17,841,746,329
  5. Step 5: Solve for x
    x = 17,841,746,329/87,590.50
  6. Step 6: Final answer
    x = 203,694.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.