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Finding the Third Proportional to 394,407 and 863,446

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Solution

The third proportional to 394,407 and 863,446 is: 1,890,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,407 : 863,446 = 863,446 : x
  2. Step 2: Convert to fraction form
    394,407/863,446 = 863,446/x
  3. Step 3: Cross multiply
    394,407x = 863,446 × 863,446
  4. Step 4: Simplify right side
    394,407x = 745,538,994,916
  5. Step 5: Solve for x
    x = 745,538,994,916/394,407
  6. Step 6: Final answer
    x = 1,890,278.30

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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.