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Finding the Third Proportional to 31,691.25 and 47,661.75

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Solution

The third proportional to 31,691.25 and 47,661.75 is: 71,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.25 : 47,661.75 = 47,661.75 : x
  2. Step 2: Convert to fraction form
    31,691.25/47,661.75 = 47,661.75/x
  3. Step 3: Cross multiply
    31,691.25x = 47,661.75 × 47,661.75
  4. Step 4: Simplify right side
    31,691.25x = 2,271,642,413.06
  5. Step 5: Solve for x
    x = 2,271,642,413.06/31,691.25
  6. Step 6: Final answer
    x = 71,680.43

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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.