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Finding the Third Proportional to 171,317 and 394,839

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Solution

The third proportional to 171,317 and 394,839 is: 909,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,317 : 394,839 = 394,839 : x
  2. Step 2: Convert to fraction form
    171,317/394,839 = 394,839/x
  3. Step 3: Cross multiply
    171,317x = 394,839 × 394,839
  4. Step 4: Simplify right side
    171,317x = 155,897,835,921
  5. Step 5: Solve for x
    x = 155,897,835,921/171,317
  6. Step 6: Final answer
    x = 909,996.30

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.