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Finding the Third Proportional to 11.64 and 18.07

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Solution

The third proportional to 11.64 and 18.07 is: 28.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 18.07 = 18.07 : x
  2. Step 2: Convert to fraction form
    11.64/18.07 = 18.07/x
  3. Step 3: Cross multiply
    11.64x = 18.07 × 18.07
  4. Step 4: Simplify right side
    11.64x = 326.54
  5. Step 5: Solve for x
    x = 326.54/11.64
  6. Step 6: Final answer
    x = 28.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.