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Finding the Third Proportional to 217.05 and 243.95

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Solution

The third proportional to 217.05 and 243.95 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.05 : 243.95 = 243.95 : x
  2. Step 2: Convert to fraction form
    217.05/243.95 = 243.95/x
  3. Step 3: Cross multiply
    217.05x = 243.95 × 243.95
  4. Step 4: Simplify right side
    217.05x = 59,511.22
  5. Step 5: Solve for x
    x = 59,511.22/217.05
  6. Step 6: Final answer
    x = 274.18

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.