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Finding the Third Proportional to 381,127 and 752,615

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Solution

The third proportional to 381,127 and 752,615 is: 1,486,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,127 : 752,615 = 752,615 : x
  2. Step 2: Convert to fraction form
    381,127/752,615 = 752,615/x
  3. Step 3: Cross multiply
    381,127x = 752,615 × 752,615
  4. Step 4: Simplify right side
    381,127x = 566,429,338,225
  5. Step 5: Solve for x
    x = 566,429,338,225/381,127
  6. Step 6: Final answer
    x = 1,486,195.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.