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Finding the Third Proportional to 11.98 and 21.77

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Solution

The third proportional to 11.98 and 21.77 is: 39.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.98 : 21.77 = 21.77 : x
  2. Step 2: Convert to fraction form
    11.98/21.77 = 21.77/x
  3. Step 3: Cross multiply
    11.98x = 21.77 × 21.77
  4. Step 4: Simplify right side
    11.98x = 474.10
  5. Step 5: Solve for x
    x = 474.10/11.98
  6. Step 6: Final answer
    x = 39.59

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.