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Finding the Third Proportional to 11.78 and 17.23

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Solution

The third proportional to 11.78 and 17.23 is: 25.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 17.23 = 17.23 : x
  2. Step 2: Convert to fraction form
    11.78/17.23 = 17.23/x
  3. Step 3: Cross multiply
    11.78x = 17.23 × 17.23
  4. Step 4: Simplify right side
    11.78x = 296.94
  5. Step 5: Solve for x
    x = 296.94/11.78
  6. Step 6: Final answer
    x = 25.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.