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Finding the Third Proportional to 65.94 and 72.97

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Solution

The third proportional to 65.94 and 72.97 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 72.97 = 72.97 : x
  2. Step 2: Convert to fraction form
    65.94/72.97 = 72.97/x
  3. Step 3: Cross multiply
    65.94x = 72.97 × 72.97
  4. Step 4: Simplify right side
    65.94x = 5,324.44
  5. Step 5: Solve for x
    x = 5,324.44/65.94
  6. Step 6: Final answer
    x = 80.75

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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.