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Finding the Third Proportional to 80,400.09 and 172,912.22

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Solution

The third proportional to 80,400.09 and 172,912.22 is: 371,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,400.09 : 172,912.22 = 172,912.22 : x
  2. Step 2: Convert to fraction form
    80,400.09/172,912.22 = 172,912.22/x
  3. Step 3: Cross multiply
    80,400.09x = 172,912.22 × 172,912.22
  4. Step 4: Simplify right side
    80,400.09x = 29,898,635,393.05
  5. Step 5: Solve for x
    x = 29,898,635,393.05/80,400.09
  6. Step 6: Final answer
    x = 371,873.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.