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Finding the Third Proportional to 80,979 and 127,020.38

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Solution

The third proportional to 80,979 and 127,020.38 is: 199,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,979 : 127,020.38 = 127,020.38 : x
  2. Step 2: Convert to fraction form
    80,979/127,020.38 = 127,020.38/x
  3. Step 3: Cross multiply
    80,979x = 127,020.38 × 127,020.38
  4. Step 4: Simplify right side
    80,979x = 16,134,175,665.14
  5. Step 5: Solve for x
    x = 16,134,175,665.14/80,979
  6. Step 6: Final answer
    x = 199,239.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.