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Finding the Third Proportional to 394,459 and 851,999

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Solution

The third proportional to 394,459 and 851,999 is: 1,840,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,459 : 851,999 = 851,999 : x
  2. Step 2: Convert to fraction form
    394,459/851,999 = 851,999/x
  3. Step 3: Cross multiply
    394,459x = 851,999 × 851,999
  4. Step 4: Simplify right side
    394,459x = 725,902,296,001
  5. Step 5: Solve for x
    x = 725,902,296,001/394,459
  6. Step 6: Final answer
    x = 1,840,247.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.