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Finding the Third Proportional to 381,135 and 752,632

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Solution

The third proportional to 381,135 and 752,632 is: 1,486,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,135 : 752,632 = 752,632 : x
  2. Step 2: Convert to fraction form
    381,135/752,632 = 752,632/x
  3. Step 3: Cross multiply
    381,135x = 752,632 × 752,632
  4. Step 4: Simplify right side
    381,135x = 566,454,927,424
  5. Step 5: Solve for x
    x = 566,454,927,424/381,135
  6. Step 6: Final answer
    x = 1,486,231.72

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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.