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Finding the Third Proportional to 38,080 and 79,744

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Solution

The third proportional to 38,080 and 79,744 is: 166,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080 : 79,744 = 79,744 : x
  2. Step 2: Convert to fraction form
    38,080/79,744 = 79,744/x
  3. Step 3: Cross multiply
    38,080x = 79,744 × 79,744
  4. Step 4: Simplify right side
    38,080x = 6,359,105,536
  5. Step 5: Solve for x
    x = 6,359,105,536/38,080
  6. Step 6: Final answer
    x = 166,993.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.