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Finding the Third Proportional to 11.19 and 17.07

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Solution

The third proportional to 11.19 and 17.07 is: 26.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.19 : 17.07 = 17.07 : x
  2. Step 2: Convert to fraction form
    11.19/17.07 = 17.07/x
  3. Step 3: Cross multiply
    11.19x = 17.07 × 17.07
  4. Step 4: Simplify right side
    11.19x = 291.42
  5. Step 5: Solve for x
    x = 291.42/11.19
  6. Step 6: Final answer
    x = 26.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.