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Finding the Third Proportional to 87,509 and 187,471

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Solution

The third proportional to 87,509 and 187,471 is: 401,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,509 : 187,471 = 187,471 : x
  2. Step 2: Convert to fraction form
    87,509/187,471 = 187,471/x
  3. Step 3: Cross multiply
    87,509x = 187,471 × 187,471
  4. Step 4: Simplify right side
    87,509x = 35,145,375,841
  5. Step 5: Solve for x
    x = 35,145,375,841/87,509
  6. Step 6: Final answer
    x = 401,620.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.