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Finding the Third Proportional to 378,891.50 and 820,847

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Solution

The third proportional to 378,891.50 and 820,847 is: 1,778,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,891.50 : 820,847 = 820,847 : x
  2. Step 2: Convert to fraction form
    378,891.50/820,847 = 820,847/x
  3. Step 3: Cross multiply
    378,891.50x = 820,847 × 820,847
  4. Step 4: Simplify right side
    378,891.50x = 673,789,797,409
  5. Step 5: Solve for x
    x = 673,789,797,409/378,891.50
  6. Step 6: Final answer
    x = 1,778,318.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.