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Finding the Third Proportional to 491,900 and 752,124

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Solution

The third proportional to 491,900 and 752,124 is: 1,150,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,900 : 752,124 = 752,124 : x
  2. Step 2: Convert to fraction form
    491,900/752,124 = 752,124/x
  3. Step 3: Cross multiply
    491,900x = 752,124 × 752,124
  4. Step 4: Simplify right side
    491,900x = 565,690,511,376
  5. Step 5: Solve for x
    x = 565,690,511,376/491,900
  6. Step 6: Final answer
    x = 1,150,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.