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Finding the Third Proportional to 33.75 and 51.29

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Solution

The third proportional to 33.75 and 51.29 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.75 : 51.29 = 51.29 : x
  2. Step 2: Convert to fraction form
    33.75/51.29 = 51.29/x
  3. Step 3: Cross multiply
    33.75x = 51.29 × 51.29
  4. Step 4: Simplify right side
    33.75x = 2,630.97
  5. Step 5: Solve for x
    x = 2,630.97/33.75
  6. Step 6: Final answer
    x = 77.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.