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Finding the Third Proportional to 7.09 and 9.25

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Solution

The third proportional to 7.09 and 9.25 is: 12.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.09 : 9.25 = 9.25 : x
  2. Step 2: Convert to fraction form
    7.09/9.25 = 9.25/x
  3. Step 3: Cross multiply
    7.09x = 9.25 × 9.25
  4. Step 4: Simplify right side
    7.09x = 85.56
  5. Step 5: Solve for x
    x = 85.56/7.09
  6. Step 6: Final answer
    x = 12.06

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.