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Finding the Third Proportional to 87,489.75 and 187,413.75

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Solution

The third proportional to 87,489.75 and 187,413.75 is: 401,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,489.75 : 187,413.75 = 187,413.75 : x
  2. Step 2: Convert to fraction form
    87,489.75/187,413.75 = 187,413.75/x
  3. Step 3: Cross multiply
    87,489.75x = 187,413.75 × 187,413.75
  4. Step 4: Simplify right side
    87,489.75x = 35,123,913,689.06
  5. Step 5: Solve for x
    x = 35,123,913,689.06/87,489.75
  6. Step 6: Final answer
    x = 401,463.18

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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.