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Finding the Third Proportional to 16.37 and 34.09

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Solution

The third proportional to 16.37 and 34.09 is: 71.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.37 : 34.09 = 34.09 : x
  2. Step 2: Convert to fraction form
    16.37/34.09 = 34.09/x
  3. Step 3: Cross multiply
    16.37x = 34.09 × 34.09
  4. Step 4: Simplify right side
    16.37x = 1,162.32
  5. Step 5: Solve for x
    x = 1,162.32/16.37
  6. Step 6: Final answer
    x = 71.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.