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Finding the Third Proportional to 79.66 and 118.76

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Solution

The third proportional to 79.66 and 118.76 is: 177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.66 : 118.76 = 118.76 : x
  2. Step 2: Convert to fraction form
    79.66/118.76 = 118.76/x
  3. Step 3: Cross multiply
    79.66x = 118.76 × 118.76
  4. Step 4: Simplify right side
    79.66x = 14,103.42
  5. Step 5: Solve for x
    x = 14,103.42/79.66
  6. Step 6: Final answer
    x = 177.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.