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Finding the Third Proportional to 74,310.75 and 129,691.13

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Solution

The third proportional to 74,310.75 and 129,691.13 is: 226,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,310.75 : 129,691.13 = 129,691.13 : x
  2. Step 2: Convert to fraction form
    74,310.75/129,691.13 = 129,691.13/x
  3. Step 3: Cross multiply
    74,310.75x = 129,691.13 × 129,691.13
  4. Step 4: Simplify right side
    74,310.75x = 16,819,787,903.77
  5. Step 5: Solve for x
    x = 16,819,787,903.77/74,310.75
  6. Step 6: Final answer
    x = 226,343.94

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.