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Finding the Third Proportional to 17.09 and 34.65

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Solution

The third proportional to 17.09 and 34.65 is: 70.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 34.65 = 34.65 : x
  2. Step 2: Convert to fraction form
    17.09/34.65 = 34.65/x
  3. Step 3: Cross multiply
    17.09x = 34.65 × 34.65
  4. Step 4: Simplify right side
    17.09x = 1,200.38
  5. Step 5: Solve for x
    x = 1,200.38/17.09
  6. Step 6: Final answer
    x = 70.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.