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Finding the Third Proportional to 80,446 and 133,305

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Solution

The third proportional to 80,446 and 133,305 is: 220,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,446 : 133,305 = 133,305 : x
  2. Step 2: Convert to fraction form
    80,446/133,305 = 133,305/x
  3. Step 3: Cross multiply
    80,446x = 133,305 × 133,305
  4. Step 4: Simplify right side
    80,446x = 17,770,223,025
  5. Step 5: Solve for x
    x = 17,770,223,025/80,446
  6. Step 6: Final answer
    x = 220,896.29

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.