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Finding the Third Proportional to 80,361 and 162,909

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Solution

The third proportional to 80,361 and 162,909 is: 330,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,361 : 162,909 = 162,909 : x
  2. Step 2: Convert to fraction form
    80,361/162,909 = 162,909/x
  3. Step 3: Cross multiply
    80,361x = 162,909 × 162,909
  4. Step 4: Simplify right side
    80,361x = 26,539,342,281
  5. Step 5: Solve for x
    x = 26,539,342,281/80,361
  6. Step 6: Final answer
    x = 330,251.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.