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Finding the Third Proportional to 7.81 and 16.75

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Solution

The third proportional to 7.81 and 16.75 is: 35.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.81 : 16.75 = 16.75 : x
  2. Step 2: Convert to fraction form
    7.81/16.75 = 16.75/x
  3. Step 3: Cross multiply
    7.81x = 16.75 × 16.75
  4. Step 4: Simplify right side
    7.81x = 280.56
  5. Step 5: Solve for x
    x = 280.56/7.81
  6. Step 6: Final answer
    x = 35.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.