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Finding the Third Proportional to 394,287 and 557,907

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Solution

The third proportional to 394,287 and 557,907 is: 789,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,287 : 557,907 = 557,907 : x
  2. Step 2: Convert to fraction form
    394,287/557,907 = 557,907/x
  3. Step 3: Cross multiply
    394,287x = 557,907 × 557,907
  4. Step 4: Simplify right side
    394,287x = 311,260,220,649
  5. Step 5: Solve for x
    x = 311,260,220,649/394,287
  6. Step 6: Final answer
    x = 789,425.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.