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Finding the Third Proportional to 16.91 and 37.19

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Solution

The third proportional to 16.91 and 37.19 is: 81.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.91 : 37.19 = 37.19 : x
  2. Step 2: Convert to fraction form
    16.91/37.19 = 37.19/x
  3. Step 3: Cross multiply
    16.91x = 37.19 × 37.19
  4. Step 4: Simplify right side
    16.91x = 1,382.91
  5. Step 5: Solve for x
    x = 1,382.91/16.91
  6. Step 6: Final answer
    x = 81.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.