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Finding the Third Proportional to 31,168.97 and 66,231.84

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Solution

The third proportional to 31,168.97 and 66,231.84 is: 140,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,168.97 : 66,231.84 = 66,231.84 : x
  2. Step 2: Convert to fraction form
    31,168.97/66,231.84 = 66,231.84/x
  3. Step 3: Cross multiply
    31,168.97x = 66,231.84 × 66,231.84
  4. Step 4: Simplify right side
    31,168.97x = 4,386,657,126.52
  5. Step 5: Solve for x
    x = 4,386,657,126.52/31,168.97
  6. Step 6: Final answer
    x = 140,737.96

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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.