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Finding the Third Proportional to 17.26 and 35.79

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Solution

The third proportional to 17.26 and 35.79 is: 74.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.26 : 35.79 = 35.79 : x
  2. Step 2: Convert to fraction form
    17.26/35.79 = 35.79/x
  3. Step 3: Cross multiply
    17.26x = 35.79 × 35.79
  4. Step 4: Simplify right side
    17.26x = 1,280.86
  5. Step 5: Solve for x
    x = 1,280.86/17.26
  6. Step 6: Final answer
    x = 74.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.