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Finding the Third Proportional to 11.98 and 28.12

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Solution

The third proportional to 11.98 and 28.12 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 28.12 = 28.12 : x
  2. Step 2: Convert to fraction form
    11.98/28.12 = 28.12/x
  3. Step 3: Cross multiply
    11.98x = 28.12 × 28.12
  4. Step 4: Simplify right side
    11.98x = 790.75
  5. Step 5: Solve for x
    x = 790.75/11.98
  6. Step 6: Final answer
    x = 66.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.