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Finding the Third Proportional to 378,867 and 813,785

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Solution

The third proportional to 378,867 and 813,785 is: 1,747,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,867 : 813,785 = 813,785 : x
  2. Step 2: Convert to fraction form
    378,867/813,785 = 813,785/x
  3. Step 3: Cross multiply
    378,867x = 813,785 × 813,785
  4. Step 4: Simplify right side
    378,867x = 662,246,026,225
  5. Step 5: Solve for x
    x = 662,246,026,225/378,867
  6. Step 6: Final answer
    x = 1,747,964.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.