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Finding the Third Proportional to 16.12 and 34.91

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Solution

The third proportional to 16.12 and 34.91 is: 75.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.12 : 34.91 = 34.91 : x
  2. Step 2: Convert to fraction form
    16.12/34.91 = 34.91/x
  3. Step 3: Cross multiply
    16.12x = 34.91 × 34.91
  4. Step 4: Simplify right side
    16.12x = 1,218.45
  5. Step 5: Solve for x
    x = 1,218.45/16.12
  6. Step 6: Final answer
    x = 75.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.