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Finding the Third Proportional to 17.09 and 40.18

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Solution

The third proportional to 17.09 and 40.18 is: 94.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 40.18 = 40.18 : x
  2. Step 2: Convert to fraction form
    17.09/40.18 = 40.18/x
  3. Step 3: Cross multiply
    17.09x = 40.18 × 40.18
  4. Step 4: Simplify right side
    17.09x = 1,614.72
  5. Step 5: Solve for x
    x = 1,614.72/17.09
  6. Step 6: Final answer
    x = 94.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.