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Finding the Third Proportional to 11.72 and 25.49

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Solution

The third proportional to 11.72 and 25.49 is: 55.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.72 : 25.49 = 25.49 : x
  2. Step 2: Convert to fraction form
    11.72/25.49 = 25.49/x
  3. Step 3: Cross multiply
    11.72x = 25.49 × 25.49
  4. Step 4: Simplify right side
    11.72x = 649.59
  5. Step 5: Solve for x
    x = 649.59/11.72
  6. Step 6: Final answer
    x = 55.44

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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.