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Finding the Third Proportional to 76.06 and 113.66

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Solution

The third proportional to 76.06 and 113.66 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 113.66 = 113.66 : x
  2. Step 2: Convert to fraction form
    76.06/113.66 = 113.66/x
  3. Step 3: Cross multiply
    76.06x = 113.66 × 113.66
  4. Step 4: Simplify right side
    76.06x = 12,917.74
  5. Step 5: Solve for x
    x = 12,917.74/76.06
  6. Step 6: Final answer
    x = 169.83

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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.