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Finding the Third Proportional to 31,625 and 67,939.75

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Solution

The third proportional to 31,625 and 67,939.75 is: 145,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625 : 67,939.75 = 67,939.75 : x
  2. Step 2: Convert to fraction form
    31,625/67,939.75 = 67,939.75/x
  3. Step 3: Cross multiply
    31,625x = 67,939.75 × 67,939.75
  4. Step 4: Simplify right side
    31,625x = 4,615,809,630.06
  5. Step 5: Solve for x
    x = 4,615,809,630.06/31,625
  6. Step 6: Final answer
    x = 145,954.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.