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Finding the Third Proportional to 381,292.88 and 813,251.25

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Solution

The third proportional to 381,292.88 and 813,251.25 is: 1,734,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,292.88 : 813,251.25 = 813,251.25 : x
  2. Step 2: Convert to fraction form
    381,292.88/813,251.25 = 813,251.25/x
  3. Step 3: Cross multiply
    381,292.88x = 813,251.25 × 813,251.25
  4. Step 4: Simplify right side
    381,292.88x = 661,377,595,626.56
  5. Step 5: Solve for x
    x = 661,377,595,626.56/381,292.88
  6. Step 6: Final answer
    x = 1,734,565.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.