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Finding the Third Proportional to 36.70 and 80.37

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Solution

The third proportional to 36.70 and 80.37 is: 175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 80.37 = 80.37 : x
  2. Step 2: Convert to fraction form
    36.70/80.37 = 80.37/x
  3. Step 3: Cross multiply
    36.70x = 80.37 × 80.37
  4. Step 4: Simplify right side
    36.70x = 6,458.88
  5. Step 5: Solve for x
    x = 6,458.88/36.70
  6. Step 6: Final answer
    x = 175.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.