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Finding the Third Proportional to 394,418 and 863,468

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Solution

The third proportional to 394,418 and 863,468 is: 1,890,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,418 : 863,468 = 863,468 : x
  2. Step 2: Convert to fraction form
    394,418/863,468 = 863,468/x
  3. Step 3: Cross multiply
    394,418x = 863,468 × 863,468
  4. Step 4: Simplify right side
    394,418x = 745,576,987,024
  5. Step 5: Solve for x
    x = 745,576,987,024/394,418
  6. Step 6: Final answer
    x = 1,890,321.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.