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Finding the Third Proportional to 9.85 and 16.80

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Solution

The third proportional to 9.85 and 16.80 is: 28.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.85 : 16.80 = 16.80 : x
  2. Step 2: Convert to fraction form
    9.85/16.80 = 16.80/x
  3. Step 3: Cross multiply
    9.85x = 16.80 × 16.80
  4. Step 4: Simplify right side
    9.85x = 282.35
  5. Step 5: Solve for x
    x = 282.35/9.85
  6. Step 6: Final answer
    x = 28.66

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.