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Finding the Third Proportional to 36.57 and 79.57

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Solution

The third proportional to 36.57 and 79.57 is: 173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.57 : 79.57 = 79.57 : x
  2. Step 2: Convert to fraction form
    36.57/79.57 = 79.57/x
  3. Step 3: Cross multiply
    36.57x = 79.57 × 79.57
  4. Step 4: Simplify right side
    36.57x = 6,330.97
  5. Step 5: Solve for x
    x = 6,330.97/36.57
  6. Step 6: Final answer
    x = 173.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.