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Finding the Third Proportional to 28.78 and 41.84

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Solution

The third proportional to 28.78 and 41.84 is: 60.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.78 : 41.84 = 41.84 : x
  2. Step 2: Convert to fraction form
    28.78/41.84 = 41.84/x
  3. Step 3: Cross multiply
    28.78x = 41.84 × 41.84
  4. Step 4: Simplify right side
    28.78x = 1,750.90
  5. Step 5: Solve for x
    x = 1,750.90/28.78
  6. Step 6: Final answer
    x = 60.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.