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Finding the Third Proportional to 381,279 and 752,991

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Solution

The third proportional to 381,279 and 752,991 is: 1,487,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,279 : 752,991 = 752,991 : x
  2. Step 2: Convert to fraction form
    381,279/752,991 = 752,991/x
  3. Step 3: Cross multiply
    381,279x = 752,991 × 752,991
  4. Step 4: Simplify right side
    381,279x = 566,995,446,081
  5. Step 5: Solve for x
    x = 566,995,446,081/381,279
  6. Step 6: Final answer
    x = 1,487,088.05

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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.