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Finding the Third Proportional to 76.17 and 83.97

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Solution

The third proportional to 76.17 and 83.97 is: 92.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 83.97 = 83.97 : x
  2. Step 2: Convert to fraction form
    76.17/83.97 = 83.97/x
  3. Step 3: Cross multiply
    76.17x = 83.97 × 83.97
  4. Step 4: Simplify right side
    76.17x = 7,050.34
  5. Step 5: Solve for x
    x = 7,050.34/76.17
  6. Step 6: Final answer
    x = 92.55

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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.