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Finding the Third Proportional to 394,419 and 863,472

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Solution

The third proportional to 394,419 and 863,472 is: 1,890,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,419 : 863,472 = 863,472 : x
  2. Step 2: Convert to fraction form
    394,419/863,472 = 863,472/x
  3. Step 3: Cross multiply
    394,419x = 863,472 × 863,472
  4. Step 4: Simplify right side
    394,419x = 745,583,894,784
  5. Step 5: Solve for x
    x = 745,583,894,784/394,419
  6. Step 6: Final answer
    x = 1,890,334.63

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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.