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Finding the Third Proportional to 253,902 and 394,411

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Solution

The third proportional to 253,902 and 394,411 is: 612,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,902 : 394,411 = 394,411 : x
  2. Step 2: Convert to fraction form
    253,902/394,411 = 394,411/x
  3. Step 3: Cross multiply
    253,902x = 394,411 × 394,411
  4. Step 4: Simplify right side
    253,902x = 155,560,036,921
  5. Step 5: Solve for x
    x = 155,560,036,921/253,902
  6. Step 6: Final answer
    x = 612,677.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.