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Finding the Third Proportional to 17.40 and 26.42

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Solution

The third proportional to 17.40 and 26.42 is: 40.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.40 : 26.42 = 26.42 : x
  2. Step 2: Convert to fraction form
    17.40/26.42 = 26.42/x
  3. Step 3: Cross multiply
    17.40x = 26.42 × 26.42
  4. Step 4: Simplify right side
    17.40x = 698.01
  5. Step 5: Solve for x
    x = 698.01/17.40
  6. Step 6: Final answer
    x = 40.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.