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Finding the Third Proportional to 38.56 and 77.97

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Solution

The third proportional to 38.56 and 77.97 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.56 : 77.97 = 77.97 : x
  2. Step 2: Convert to fraction form
    38.56/77.97 = 77.97/x
  3. Step 3: Cross multiply
    38.56x = 77.97 × 77.97
  4. Step 4: Simplify right side
    38.56x = 6,079.13
  5. Step 5: Solve for x
    x = 6,079.13/38.56
  6. Step 6: Final answer
    x = 157.64

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.