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Finding the Third Proportional to 9.85 and 11.02

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Solution

The third proportional to 9.85 and 11.02 is: 12.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.85 : 11.02 = 11.02 : x
  2. Step 2: Convert to fraction form
    9.85/11.02 = 11.02/x
  3. Step 3: Cross multiply
    9.85x = 11.02 × 11.02
  4. Step 4: Simplify right side
    9.85x = 121.51
  5. Step 5: Solve for x
    x = 121.51/9.85
  6. Step 6: Final answer
    x = 12.33

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.