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Finding the Third Proportional to 77.04 and 166.24

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Solution

The third proportional to 77.04 and 166.24 is: 358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 166.24 = 166.24 : x
  2. Step 2: Convert to fraction form
    77.04/166.24 = 166.24/x
  3. Step 3: Cross multiply
    77.04x = 166.24 × 166.24
  4. Step 4: Simplify right side
    77.04x = 27,634.90
  5. Step 5: Solve for x
    x = 27,634.90/77.04
  6. Step 6: Final answer
    x = 358.72

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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.