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Finding the Third Proportional to 66.75 and 81.33

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Solution

The third proportional to 66.75 and 81.33 is: 99.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 81.33 = 81.33 : x
  2. Step 2: Convert to fraction form
    66.75/81.33 = 81.33/x
  3. Step 3: Cross multiply
    66.75x = 81.33 × 81.33
  4. Step 4: Simplify right side
    66.75x = 6,614.26
  5. Step 5: Solve for x
    x = 6,614.26/66.75
  6. Step 6: Final answer
    x = 99.09

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.