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Finding the Third Proportional to 51.05 and 106.42

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Solution

The third proportional to 51.05 and 106.42 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 106.42 = 106.42 : x
  2. Step 2: Convert to fraction form
    51.05/106.42 = 106.42/x
  3. Step 3: Cross multiply
    51.05x = 106.42 × 106.42
  4. Step 4: Simplify right side
    51.05x = 11,324.78
  5. Step 5: Solve for x
    x = 11,324.78/51.05
  6. Step 6: Final answer
    x = 221.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.