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Finding the Third Proportional to 8.07 and 16.97

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Solution

The third proportional to 8.07 and 16.97 is: 35.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.07 : 16.97 = 16.97 : x
  2. Step 2: Convert to fraction form
    8.07/16.97 = 16.97/x
  3. Step 3: Cross multiply
    8.07x = 16.97 × 16.97
  4. Step 4: Simplify right side
    8.07x = 288.02
  5. Step 5: Solve for x
    x = 288.02/8.07
  6. Step 6: Final answer
    x = 35.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.