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Finding the Third Proportional to 32.75 and 69.13

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Solution

The third proportional to 32.75 and 69.13 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 69.13 = 69.13 : x
  2. Step 2: Convert to fraction form
    32.75/69.13 = 69.13/x
  3. Step 3: Cross multiply
    32.75x = 69.13 × 69.13
  4. Step 4: Simplify right side
    32.75x = 4,778.27
  5. Step 5: Solve for x
    x = 4,778.27/32.75
  6. Step 6: Final answer
    x = 145.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.