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Finding the Third Proportional to 394,293 and 557,916

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Solution

The third proportional to 394,293 and 557,916 is: 789,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,293 : 557,916 = 557,916 : x
  2. Step 2: Convert to fraction form
    394,293/557,916 = 557,916/x
  3. Step 3: Cross multiply
    394,293x = 557,916 × 557,916
  4. Step 4: Simplify right side
    394,293x = 311,270,263,056
  5. Step 5: Solve for x
    x = 311,270,263,056/394,293
  6. Step 6: Final answer
    x = 789,438.98

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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.