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Finding the Third Proportional to 211.78 and 244.69

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Solution

The third proportional to 211.78 and 244.69 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 244.69 = 244.69 : x
  2. Step 2: Convert to fraction form
    211.78/244.69 = 244.69/x
  3. Step 3: Cross multiply
    211.78x = 244.69 × 244.69
  4. Step 4: Simplify right side
    211.78x = 59,871.97
  5. Step 5: Solve for x
    x = 59,871.97/211.78
  6. Step 6: Final answer
    x = 282.71

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.