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Finding the Third Proportional to 36.81 and 79.22

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Solution

The third proportional to 36.81 and 79.22 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.81 : 79.22 = 79.22 : x
  2. Step 2: Convert to fraction form
    36.81/79.22 = 79.22/x
  3. Step 3: Cross multiply
    36.81x = 79.22 × 79.22
  4. Step 4: Simplify right side
    36.81x = 6,275.61
  5. Step 5: Solve for x
    x = 6,275.61/36.81
  6. Step 6: Final answer
    x = 170.47

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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.