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Finding the Third Proportional to 11.49 and 25.18

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Solution

The third proportional to 11.49 and 25.18 is: 55.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.49 : 25.18 = 25.18 : x
  2. Step 2: Convert to fraction form
    11.49/25.18 = 25.18/x
  3. Step 3: Cross multiply
    11.49x = 25.18 × 25.18
  4. Step 4: Simplify right side
    11.49x = 634.02
  5. Step 5: Solve for x
    x = 634.02/11.49
  6. Step 6: Final answer
    x = 55.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.