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Finding the Third Proportional to 178,263 and 396,374

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Solution

The third proportional to 178,263 and 396,374 is: 881,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,263 : 396,374 = 396,374 : x
  2. Step 2: Convert to fraction form
    178,263/396,374 = 396,374/x
  3. Step 3: Cross multiply
    178,263x = 396,374 × 396,374
  4. Step 4: Simplify right side
    178,263x = 157,112,347,876
  5. Step 5: Solve for x
    x = 157,112,347,876/178,263
  6. Step 6: Final answer
    x = 881,351.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.