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Finding the Third Proportional to 36.91 and 54.05

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Solution

The third proportional to 36.91 and 54.05 is: 79.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.91 : 54.05 = 54.05 : x
  2. Step 2: Convert to fraction form
    36.91/54.05 = 54.05/x
  3. Step 3: Cross multiply
    36.91x = 54.05 × 54.05
  4. Step 4: Simplify right side
    36.91x = 2,921.70
  5. Step 5: Solve for x
    x = 2,921.70/36.91
  6. Step 6: Final answer
    x = 79.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.