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Finding the Third Proportional to 394,296 and 557,920

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Solution

The third proportional to 394,296 and 557,920 is: 789,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,296 : 557,920 = 557,920 : x
  2. Step 2: Convert to fraction form
    394,296/557,920 = 557,920/x
  3. Step 3: Cross multiply
    394,296x = 557,920 × 557,920
  4. Step 4: Simplify right side
    394,296x = 311,274,726,400
  5. Step 5: Solve for x
    x = 311,274,726,400/394,296
  6. Step 6: Final answer
    x = 789,444.29

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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.