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Finding the Third Proportional to 112.94 and 218.56

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Solution

The third proportional to 112.94 and 218.56 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.94 : 218.56 = 218.56 : x
  2. Step 2: Convert to fraction form
    112.94/218.56 = 218.56/x
  3. Step 3: Cross multiply
    112.94x = 218.56 × 218.56
  4. Step 4: Simplify right side
    112.94x = 47,769.57
  5. Step 5: Solve for x
    x = 47,769.57/112.94
  6. Step 6: Final answer
    x = 422.97

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.