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Finding the Third Proportional to 66.94 and 73.69

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Solution

The third proportional to 66.94 and 73.69 is: 81.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.94 : 73.69 = 73.69 : x
  2. Step 2: Convert to fraction form
    66.94/73.69 = 73.69/x
  3. Step 3: Cross multiply
    66.94x = 73.69 × 73.69
  4. Step 4: Simplify right side
    66.94x = 5,429.85
  5. Step 5: Solve for x
    x = 5,429.85/66.94
  6. Step 6: Final answer
    x = 81.12

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.