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Finding the Third Proportional to 87,223 and 187,811

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Solution

The third proportional to 87,223 and 187,811 is: 404,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,223 : 187,811 = 187,811 : x
  2. Step 2: Convert to fraction form
    87,223/187,811 = 187,811/x
  3. Step 3: Cross multiply
    87,223x = 187,811 × 187,811
  4. Step 4: Simplify right side
    87,223x = 35,272,971,721
  5. Step 5: Solve for x
    x = 35,272,971,721/87,223
  6. Step 6: Final answer
    x = 404,399.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.