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Finding the Third Proportional to 105.19 and 217.88

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Solution

The third proportional to 105.19 and 217.88 is: 451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 217.88 = 217.88 : x
  2. Step 2: Convert to fraction form
    105.19/217.88 = 217.88/x
  3. Step 3: Cross multiply
    105.19x = 217.88 × 217.88
  4. Step 4: Simplify right side
    105.19x = 47,469.52
  5. Step 5: Solve for x
    x = 47,469.52/105.19
  6. Step 6: Final answer
    x = 451.28

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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.