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Finding the Third Proportional to 161,478 and 252,027

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Solution

The third proportional to 161,478 and 252,027 is: 393,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478 : 252,027 = 252,027 : x
  2. Step 2: Convert to fraction form
    161,478/252,027 = 252,027/x
  3. Step 3: Cross multiply
    161,478x = 252,027 × 252,027
  4. Step 4: Simplify right side
    161,478x = 63,517,608,729
  5. Step 5: Solve for x
    x = 63,517,608,729/161,478
  6. Step 6: Final answer
    x = 393,351.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.