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Finding the Third Proportional to 80,979 and 167,145

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Solution

The third proportional to 80,979 and 167,145 is: 344,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,979 : 167,145 = 167,145 : x
  2. Step 2: Convert to fraction form
    80,979/167,145 = 167,145/x
  3. Step 3: Cross multiply
    80,979x = 167,145 × 167,145
  4. Step 4: Simplify right side
    80,979x = 27,937,451,025
  5. Step 5: Solve for x
    x = 27,937,451,025/80,979
  6. Step 6: Final answer
    x = 344,996.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.