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Finding the Third Proportional to 20.75 and 34.19

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Solution

The third proportional to 20.75 and 34.19 is: 56.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 34.19 = 34.19 : x
  2. Step 2: Convert to fraction form
    20.75/34.19 = 34.19/x
  3. Step 3: Cross multiply
    20.75x = 34.19 × 34.19
  4. Step 4: Simplify right side
    20.75x = 1,168.79
  5. Step 5: Solve for x
    x = 1,168.79/20.75
  6. Step 6: Final answer
    x = 56.33

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.