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Finding the Third Proportional to 80,811 and 171,990

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Solution

The third proportional to 80,811 and 171,990 is: 366,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,811 : 171,990 = 171,990 : x
  2. Step 2: Convert to fraction form
    80,811/171,990 = 171,990/x
  3. Step 3: Cross multiply
    80,811x = 171,990 × 171,990
  4. Step 4: Simplify right side
    80,811x = 29,580,560,100
  5. Step 5: Solve for x
    x = 29,580,560,100/80,811
  6. Step 6: Final answer
    x = 366,046.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.