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Finding the Third Proportional to 394,392.38 and 863,416.13

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Solution

The third proportional to 394,392.38 and 863,416.13 is: 1,890,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,392.38 : 863,416.13 = 863,416.13 : x
  2. Step 2: Convert to fraction form
    394,392.38/863,416.13 = 863,416.13/x
  3. Step 3: Cross multiply
    394,392.38x = 863,416.13 × 863,416.13
  4. Step 4: Simplify right side
    394,392.38x = 745,487,404,910.02
  5. Step 5: Solve for x
    x = 745,487,404,910.02/394,392.38
  6. Step 6: Final answer
    x = 1,890,217.59

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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.