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Finding the Third Proportional to 7.28 and 11.07

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Solution

The third proportional to 7.28 and 11.07 is: 16.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.28 : 11.07 = 11.07 : x
  2. Step 2: Convert to fraction form
    7.28/11.07 = 11.07/x
  3. Step 3: Cross multiply
    7.28x = 11.07 × 11.07
  4. Step 4: Simplify right side
    7.28x = 122.64
  5. Step 5: Solve for x
    x = 122.64/7.28
  6. Step 6: Final answer
    x = 16.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.