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Finding the Third Proportional to 138,413.25 and 207,618.75

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Solution

The third proportional to 138,413.25 and 207,618.75 is: 311,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,413.25 : 207,618.75 = 207,618.75 : x
  2. Step 2: Convert to fraction form
    138,413.25/207,618.75 = 207,618.75/x
  3. Step 3: Cross multiply
    138,413.25x = 207,618.75 × 207,618.75
  4. Step 4: Simplify right side
    138,413.25x = 43,105,545,351.56
  5. Step 5: Solve for x
    x = 43,105,545,351.56/138,413.25
  6. Step 6: Final answer
    x = 311,426.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.