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Finding the Third Proportional to 77.20 and 166.43

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Solution

The third proportional to 77.20 and 166.43 is: 358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 166.43 = 166.43 : x
  2. Step 2: Convert to fraction form
    77.20/166.43 = 166.43/x
  3. Step 3: Cross multiply
    77.20x = 166.43 × 166.43
  4. Step 4: Simplify right side
    77.20x = 27,698.84
  5. Step 5: Solve for x
    x = 27,698.84/77.20
  6. Step 6: Final answer
    x = 358.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.