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Finding the Third Proportional to 394,392 and 863,418

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Solution

The third proportional to 394,392 and 863,418 is: 1,890,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,392 : 863,418 = 863,418 : x
  2. Step 2: Convert to fraction form
    394,392/863,418 = 863,418/x
  3. Step 3: Cross multiply
    394,392x = 863,418 × 863,418
  4. Step 4: Simplify right side
    394,392x = 745,490,642,724
  5. Step 5: Solve for x
    x = 745,490,642,724/394,392
  6. Step 6: Final answer
    x = 1,890,227.60

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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.