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Finding the Third Proportional to 66.25 and 108.88

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Solution

The third proportional to 66.25 and 108.88 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.25 : 108.88 = 108.88 : x
  2. Step 2: Convert to fraction form
    66.25/108.88 = 108.88/x
  3. Step 3: Cross multiply
    66.25x = 108.88 × 108.88
  4. Step 4: Simplify right side
    66.25x = 11,853.77
  5. Step 5: Solve for x
    x = 11,853.77/66.25
  6. Step 6: Final answer
    x = 178.92

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.