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Finding the Third Proportional to 132,711.75 and 288,748.13

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Solution

The third proportional to 132,711.75 and 288,748.13 is: 628,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,711.75 : 288,748.13 = 288,748.13 : x
  2. Step 2: Convert to fraction form
    132,711.75/288,748.13 = 288,748.13/x
  3. Step 3: Cross multiply
    132,711.75x = 288,748.13 × 288,748.13
  4. Step 4: Simplify right side
    132,711.75x = 83,375,479,691.02
  5. Step 5: Solve for x
    x = 83,375,479,691.02/132,711.75
  6. Step 6: Final answer
    x = 628,244.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.