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Finding the Third Proportional to 87,211 and 187,733

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Solution

The third proportional to 87,211 and 187,733 is: 404,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,211 : 187,733 = 187,733 : x
  2. Step 2: Convert to fraction form
    87,211/187,733 = 187,733/x
  3. Step 3: Cross multiply
    87,211x = 187,733 × 187,733
  4. Step 4: Simplify right side
    87,211x = 35,243,679,289
  5. Step 5: Solve for x
    x = 35,243,679,289/87,211
  6. Step 6: Final answer
    x = 404,119.66

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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.