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Finding the Third Proportional to 394,295 and 557,919

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Solution

The third proportional to 394,295 and 557,919 is: 789,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,295 : 557,919 = 557,919 : x
  2. Step 2: Convert to fraction form
    394,295/557,919 = 557,919/x
  3. Step 3: Cross multiply
    394,295x = 557,919 × 557,919
  4. Step 4: Simplify right side
    394,295x = 311,273,610,561
  5. Step 5: Solve for x
    x = 311,273,610,561/394,295
  6. Step 6: Final answer
    x = 789,443.46

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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.