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Finding the Third Proportional to 9.89 and 16.81

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Solution

The third proportional to 9.89 and 16.81 is: 28.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.89 : 16.81 = 16.81 : x
  2. Step 2: Convert to fraction form
    9.89/16.81 = 16.81/x
  3. Step 3: Cross multiply
    9.89x = 16.81 × 16.81
  4. Step 4: Simplify right side
    9.89x = 282.45
  5. Step 5: Solve for x
    x = 282.45/9.89
  6. Step 6: Final answer
    x = 28.57

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.