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Finding the Third Proportional to 87,515 and 191,980

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Solution

The third proportional to 87,515 and 191,980 is: 421,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,515 : 191,980 = 191,980 : x
  2. Step 2: Convert to fraction form
    87,515/191,980 = 191,980/x
  3. Step 3: Cross multiply
    87,515x = 191,980 × 191,980
  4. Step 4: Simplify right side
    87,515x = 36,856,320,400
  5. Step 5: Solve for x
    x = 36,856,320,400/87,515
  6. Step 6: Final answer
    x = 421,142.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.