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Finding the Third Proportional to 28.76 and 44.19

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Solution

The third proportional to 28.76 and 44.19 is: 67.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.76 : 44.19 = 44.19 : x
  2. Step 2: Convert to fraction form
    28.76/44.19 = 44.19/x
  3. Step 3: Cross multiply
    28.76x = 44.19 × 44.19
  4. Step 4: Simplify right side
    28.76x = 1,952.88
  5. Step 5: Solve for x
    x = 1,952.88/28.76
  6. Step 6: Final answer
    x = 67.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.