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Finding the Third Proportional to 71,998.88 and 107,998.31

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Solution

The third proportional to 71,998.88 and 107,998.31 is: 161,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,998.88 : 107,998.31 = 107,998.31 : x
  2. Step 2: Convert to fraction form
    71,998.88/107,998.31 = 107,998.31/x
  3. Step 3: Cross multiply
    71,998.88x = 107,998.31 × 107,998.31
  4. Step 4: Simplify right side
    71,998.88x = 11,663,635,502.85
  5. Step 5: Solve for x
    x = 11,663,635,502.85/71,998.88
  6. Step 6: Final answer
    x = 161,997.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.