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Finding the Third Proportional to 394,297 and 557,922

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Solution

The third proportional to 394,297 and 557,922 is: 789,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,297 : 557,922 = 557,922 : x
  2. Step 2: Convert to fraction form
    394,297/557,922 = 557,922/x
  3. Step 3: Cross multiply
    394,297x = 557,922 × 557,922
  4. Step 4: Simplify right side
    394,297x = 311,276,958,084
  5. Step 5: Solve for x
    x = 311,276,958,084/394,297
  6. Step 6: Final answer
    x = 789,447.95

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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.