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Finding the Third Proportional to 11.09 and 25.26

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Solution

The third proportional to 11.09 and 25.26 is: 57.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.09 : 25.26 = 25.26 : x
  2. Step 2: Convert to fraction form
    11.09/25.26 = 25.26/x
  3. Step 3: Cross multiply
    11.09x = 25.26 × 25.26
  4. Step 4: Simplify right side
    11.09x = 638.15
  5. Step 5: Solve for x
    x = 638.15/11.09
  6. Step 6: Final answer
    x = 57.56

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.