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Finding the Third Proportional to 105.36 and 217.85

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Solution

The third proportional to 105.36 and 217.85 is: 450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 217.85 = 217.85 : x
  2. Step 2: Convert to fraction form
    105.36/217.85 = 217.85/x
  3. Step 3: Cross multiply
    105.36x = 217.85 × 217.85
  4. Step 4: Simplify right side
    105.36x = 47,456.75
  5. Step 5: Solve for x
    x = 47,456.75/105.36
  6. Step 6: Final answer
    x = 450.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.