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Finding the Third Proportional to 179,872 and 394,992

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Solution

The third proportional to 179,872 and 394,992 is: 867,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,872 : 394,992 = 394,992 : x
  2. Step 2: Convert to fraction form
    179,872/394,992 = 394,992/x
  3. Step 3: Cross multiply
    179,872x = 394,992 × 394,992
  4. Step 4: Simplify right side
    179,872x = 156,018,680,064
  5. Step 5: Solve for x
    x = 156,018,680,064/179,872
  6. Step 6: Final answer
    x = 867,387.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.