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Finding the Third Proportional to 412,347 and 878,694

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Solution

The third proportional to 412,347 and 878,694 is: 1,872,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,347 : 878,694 = 878,694 : x
  2. Step 2: Convert to fraction form
    412,347/878,694 = 878,694/x
  3. Step 3: Cross multiply
    412,347x = 878,694 × 878,694
  4. Step 4: Simplify right side
    412,347x = 772,103,145,636
  5. Step 5: Solve for x
    x = 772,103,145,636/412,347
  6. Step 6: Final answer
    x = 1,872,459.71

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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.