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Finding the Third Proportional to 394,416 and 863,463

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Solution

The third proportional to 394,416 and 863,463 is: 1,890,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,416 : 863,463 = 863,463 : x
  2. Step 2: Convert to fraction form
    394,416/863,463 = 863,463/x
  3. Step 3: Cross multiply
    394,416x = 863,463 × 863,463
  4. Step 4: Simplify right side
    394,416x = 745,568,352,369
  5. Step 5: Solve for x
    x = 745,568,352,369/394,416
  6. Step 6: Final answer
    x = 1,890,309.60

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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.