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Finding the Third Proportional to 7.16 and 10.85

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Solution

The third proportional to 7.16 and 10.85 is: 16.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.16 : 10.85 = 10.85 : x
  2. Step 2: Convert to fraction form
    7.16/10.85 = 10.85/x
  3. Step 3: Cross multiply
    7.16x = 10.85 × 10.85
  4. Step 4: Simplify right side
    7.16x = 117.70
  5. Step 5: Solve for x
    x = 117.70/7.16
  6. Step 6: Final answer
    x = 16.44

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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.