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Finding the Third Proportional to 394,292 and 557,914

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Solution

The third proportional to 394,292 and 557,914 is: 789,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,292 : 557,914 = 557,914 : x
  2. Step 2: Convert to fraction form
    394,292/557,914 = 557,914/x
  3. Step 3: Cross multiply
    394,292x = 557,914 × 557,914
  4. Step 4: Simplify right side
    394,292x = 311,268,031,396
  5. Step 5: Solve for x
    x = 311,268,031,396/394,292
  6. Step 6: Final answer
    x = 789,435.32

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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.