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Finding the Third Proportional to 394,434 and 863,901

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Solution

The third proportional to 394,434 and 863,901 is: 1,892,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,434 : 863,901 = 863,901 : x
  2. Step 2: Convert to fraction form
    394,434/863,901 = 863,901/x
  3. Step 3: Cross multiply
    394,434x = 863,901 × 863,901
  4. Step 4: Simplify right side
    394,434x = 746,324,937,801
  5. Step 5: Solve for x
    x = 746,324,937,801/394,434
  6. Step 6: Final answer
    x = 1,892,141.49

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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.