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Finding the Third Proportional to 76.36 and 166.85

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Solution

The third proportional to 76.36 and 166.85 is: 364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.36 : 166.85 = 166.85 : x
  2. Step 2: Convert to fraction form
    76.36/166.85 = 166.85/x
  3. Step 3: Cross multiply
    76.36x = 166.85 × 166.85
  4. Step 4: Simplify right side
    76.36x = 27,839.44
  5. Step 5: Solve for x
    x = 27,839.44/76.36
  6. Step 6: Final answer
    x = 364.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.