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Finding the Third Proportional to 77.20 and 166.36

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Solution

The third proportional to 77.20 and 166.36 is: 358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 166.36 = 166.36 : x
  2. Step 2: Convert to fraction form
    77.20/166.36 = 166.36/x
  3. Step 3: Cross multiply
    77.20x = 166.36 × 166.36
  4. Step 4: Simplify right side
    77.20x = 27,675.44
  5. Step 5: Solve for x
    x = 27,675.44/77.20
  6. Step 6: Final answer
    x = 358.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.