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Finding the Third Proportional to 28.44 and 38.56

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Solution

The third proportional to 28.44 and 38.56 is: 52.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.44 : 38.56 = 38.56 : x
  2. Step 2: Convert to fraction form
    28.44/38.56 = 38.56/x
  3. Step 3: Cross multiply
    28.44x = 38.56 × 38.56
  4. Step 4: Simplify right side
    28.44x = 1,487.07
  5. Step 5: Solve for x
    x = 1,487.07/28.44
  6. Step 6: Final answer
    x = 52.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.