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Finding the Third Proportional to 80,721 and 177,360.75

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Solution

The third proportional to 80,721 and 177,360.75 is: 389,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,721 : 177,360.75 = 177,360.75 : x
  2. Step 2: Convert to fraction form
    80,721/177,360.75 = 177,360.75/x
  3. Step 3: Cross multiply
    80,721x = 177,360.75 × 177,360.75
  4. Step 4: Simplify right side
    80,721x = 31,456,835,640.56
  5. Step 5: Solve for x
    x = 31,456,835,640.56/80,721
  6. Step 6: Final answer
    x = 389,698.29

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Why These Related Problems?

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