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Finding the Third Proportional to 394,398 and 863,430

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Solution

The third proportional to 394,398 and 863,430 is: 1,890,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,398 : 863,430 = 863,430 : x
  2. Step 2: Convert to fraction form
    394,398/863,430 = 863,430/x
  3. Step 3: Cross multiply
    394,398x = 863,430 × 863,430
  4. Step 4: Simplify right side
    394,398x = 745,511,364,900
  5. Step 5: Solve for x
    x = 745,511,364,900/394,398
  6. Step 6: Final answer
    x = 1,890,251.38

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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.