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Finding the Third Proportional to 87,144.75 and 133,221.38

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Solution

The third proportional to 87,144.75 and 133,221.38 is: 203,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,144.75 : 133,221.38 = 133,221.38 : x
  2. Step 2: Convert to fraction form
    87,144.75/133,221.38 = 133,221.38/x
  3. Step 3: Cross multiply
    87,144.75x = 133,221.38 × 133,221.38
  4. Step 4: Simplify right side
    87,144.75x = 17,747,934,756.89
  5. Step 5: Solve for x
    x = 17,747,934,756.89/87,144.75
  6. Step 6: Final answer
    x = 203,660.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.