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Finding the Third Proportional to 211.78 and 250.17

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Solution

The third proportional to 211.78 and 250.17 is: 295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 250.17 = 250.17 : x
  2. Step 2: Convert to fraction form
    211.78/250.17 = 250.17/x
  3. Step 3: Cross multiply
    211.78x = 250.17 × 250.17
  4. Step 4: Simplify right side
    211.78x = 62,585.97
  5. Step 5: Solve for x
    x = 62,585.97/211.78
  6. Step 6: Final answer
    x = 295.52

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.