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Finding the Third Proportional to 20.75 and 51.88

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Solution

The third proportional to 20.75 and 51.88 is: 129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 51.88 = 51.88 : x
  2. Step 2: Convert to fraction form
    20.75/51.88 = 51.88/x
  3. Step 3: Cross multiply
    20.75x = 51.88 × 51.88
  4. Step 4: Simplify right side
    20.75x = 2,691.02
  5. Step 5: Solve for x
    x = 2,691.02/20.75
  6. Step 6: Final answer
    x = 129.69

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.