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Finding the Third Proportional to 11.14 and 18.00

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Solution

The third proportional to 11.14 and 18.00 is: 29.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.14 : 18.00 = 18.00 : x
  2. Step 2: Convert to fraction form
    11.14/18.00 = 18.00/x
  3. Step 3: Cross multiply
    11.14x = 18.00 × 18.00
  4. Step 4: Simplify right side
    11.14x = 323.93
  5. Step 5: Solve for x
    x = 323.93/11.14
  6. Step 6: Final answer
    x = 29.07

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.