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Finding the Third Proportional to 394,420 and 863,470

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Solution

The third proportional to 394,420 and 863,470 is: 1,890,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,420 : 863,470 = 863,470 : x
  2. Step 2: Convert to fraction form
    394,420/863,470 = 863,470/x
  3. Step 3: Cross multiply
    394,420x = 863,470 × 863,470
  4. Step 4: Simplify right side
    394,420x = 745,580,440,900
  5. Step 5: Solve for x
    x = 745,580,440,900/394,420
  6. Step 6: Final answer
    x = 1,890,321.08

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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.