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Finding the Third Proportional to 218,131.50 and 461,413.50

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Solution

The third proportional to 218,131.50 and 461,413.50 is: 976,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,131.50 : 461,413.50 = 461,413.50 : x
  2. Step 2: Convert to fraction form
    218,131.50/461,413.50 = 461,413.50/x
  3. Step 3: Cross multiply
    218,131.50x = 461,413.50 × 461,413.50
  4. Step 4: Simplify right side
    218,131.50x = 212,902,417,982.25
  5. Step 5: Solve for x
    x = 212,902,417,982.25/218,131.50
  6. Step 6: Final answer
    x = 976,027.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.