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Finding the Third Proportional to 211.78 and 231.19

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Solution

The third proportional to 211.78 and 231.19 is: 252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 231.19 = 231.19 : x
  2. Step 2: Convert to fraction form
    211.78/231.19 = 231.19/x
  3. Step 3: Cross multiply
    211.78x = 231.19 × 231.19
  4. Step 4: Simplify right side
    211.78x = 53,447.66
  5. Step 5: Solve for x
    x = 53,447.66/211.78
  6. Step 6: Final answer
    x = 252.37

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.