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Finding the Third Proportional to 381,635.25 and 802,500.75

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Solution

The third proportional to 381,635.25 and 802,500.75 is: 1,687,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,635.25 : 802,500.75 = 802,500.75 : x
  2. Step 2: Convert to fraction form
    381,635.25/802,500.75 = 802,500.75/x
  3. Step 3: Cross multiply
    381,635.25x = 802,500.75 × 802,500.75
  4. Step 4: Simplify right side
    381,635.25x = 644,007,453,750.56
  5. Step 5: Solve for x
    x = 644,007,453,750.56/381,635.25
  6. Step 6: Final answer
    x = 1,687,494.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.