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Finding the Third Proportional to 20.75 and 27.63

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Solution

The third proportional to 20.75 and 27.63 is: 36.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 27.63 = 27.63 : x
  2. Step 2: Convert to fraction form
    20.75/27.63 = 27.63/x
  3. Step 3: Cross multiply
    20.75x = 27.63 × 27.63
  4. Step 4: Simplify right side
    20.75x = 763.14
  5. Step 5: Solve for x
    x = 763.14/20.75
  6. Step 6: Final answer
    x = 36.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.