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Finding the Third Proportional to 16.11 and 35.20

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Solution

The third proportional to 16.11 and 35.20 is: 76.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.11 : 35.20 = 35.20 : x
  2. Step 2: Convert to fraction form
    16.11/35.20 = 35.20/x
  3. Step 3: Cross multiply
    16.11x = 35.20 × 35.20
  4. Step 4: Simplify right side
    16.11x = 1,238.71
  5. Step 5: Solve for x
    x = 1,238.71/16.11
  6. Step 6: Final answer
    x = 76.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.