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Finding the Third Proportional to 10.68 and 17.09

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Solution

The third proportional to 10.68 and 17.09 is: 27.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.68 : 17.09 = 17.09 : x
  2. Step 2: Convert to fraction form
    10.68/17.09 = 17.09/x
  3. Step 3: Cross multiply
    10.68x = 17.09 × 17.09
  4. Step 4: Simplify right side
    10.68x = 291.93
  5. Step 5: Solve for x
    x = 291.93/10.68
  6. Step 6: Final answer
    x = 27.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.