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Finding the Third Proportional to 80,387.44 and 171,449.79

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Solution

The third proportional to 80,387.44 and 171,449.79 is: 365,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387.44 : 171,449.79 = 171,449.79 : x
  2. Step 2: Convert to fraction form
    80,387.44/171,449.79 = 171,449.79/x
  3. Step 3: Cross multiply
    80,387.44x = 171,449.79 × 171,449.79
  4. Step 4: Simplify right side
    80,387.44x = 29,395,030,169.58
  5. Step 5: Solve for x
    x = 29,395,030,169.58/80,387.44
  6. Step 6: Final answer
    x = 365,666.96

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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.