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Finding the Third Proportional to 394,399.97 and 863,842.22

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Solution

The third proportional to 394,399.97 and 863,842.22 is: 1,892,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,399.97 : 863,842.22 = 863,842.22 : x
  2. Step 2: Convert to fraction form
    394,399.97/863,842.22 = 863,842.22/x
  3. Step 3: Cross multiply
    394,399.97x = 863,842.22 × 863,842.22
  4. Step 4: Simplify right side
    394,399.97x = 746,223,378,894.92
  5. Step 5: Solve for x
    x = 746,223,378,894.92/394,399.97
  6. Step 6: Final answer
    x = 1,892,047.26

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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.