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Finding the Third Proportional to 20.75 and 28.53

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Solution

The third proportional to 20.75 and 28.53 is: 39.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 28.53 = 28.53 : x
  2. Step 2: Convert to fraction form
    20.75/28.53 = 28.53/x
  3. Step 3: Cross multiply
    20.75x = 28.53 × 28.53
  4. Step 4: Simplify right side
    20.75x = 814.03
  5. Step 5: Solve for x
    x = 814.03/20.75
  6. Step 6: Final answer
    x = 39.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.