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Finding the Third Proportional to 36.91 and 79.19

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Solution

The third proportional to 36.91 and 79.19 is: 169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.91 : 79.19 = 79.19 : x
  2. Step 2: Convert to fraction form
    36.91/79.19 = 79.19/x
  3. Step 3: Cross multiply
    36.91x = 79.19 × 79.19
  4. Step 4: Simplify right side
    36.91x = 6,270.66
  5. Step 5: Solve for x
    x = 6,270.66/36.91
  6. Step 6: Final answer
    x = 169.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.