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Finding the Third Proportional to 381,215 and 801,744

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Solution

The third proportional to 381,215 and 801,744 is: 1,686,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,215 : 801,744 = 801,744 : x
  2. Step 2: Convert to fraction form
    381,215/801,744 = 801,744/x
  3. Step 3: Cross multiply
    381,215x = 801,744 × 801,744
  4. Step 4: Simplify right side
    381,215x = 642,793,441,536
  5. Step 5: Solve for x
    x = 642,793,441,536/381,215
  6. Step 6: Final answer
    x = 1,686,170.38

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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.