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Finding the Third Proportional to 66.68 and 73.88

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Solution

The third proportional to 66.68 and 73.88 is: 81.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.68 : 73.88 = 73.88 : x
  2. Step 2: Convert to fraction form
    66.68/73.88 = 73.88/x
  3. Step 3: Cross multiply
    66.68x = 73.88 × 73.88
  4. Step 4: Simplify right side
    66.68x = 5,458.75
  5. Step 5: Solve for x
    x = 5,458.75/66.68
  6. Step 6: Final answer
    x = 81.87

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.