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Finding the Third Proportional to 3.09 and 7.29

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Solution

The third proportional to 3.09 and 7.29 is: 17.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 7.29 = 7.29 : x
  2. Step 2: Convert to fraction form
    3.09/7.29 = 7.29/x
  3. Step 3: Cross multiply
    3.09x = 7.29 × 7.29
  4. Step 4: Simplify right side
    3.09x = 53.13
  5. Step 5: Solve for x
    x = 53.13/3.09
  6. Step 6: Final answer
    x = 17.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.