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Finding the Third Proportional to 11.99 and 26.19

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Solution

The third proportional to 11.99 and 26.19 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.99 : 26.19 = 26.19 : x
  2. Step 2: Convert to fraction form
    11.99/26.19 = 26.19/x
  3. Step 3: Cross multiply
    11.99x = 26.19 × 26.19
  4. Step 4: Simplify right side
    11.99x = 685.99
  5. Step 5: Solve for x
    x = 685.99/11.99
  6. Step 6: Final answer
    x = 57.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.