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Finding the Third Proportional to 36.07 and 86.38

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Solution

The third proportional to 36.07 and 86.38 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 86.38 = 86.38 : x
  2. Step 2: Convert to fraction form
    36.07/86.38 = 86.38/x
  3. Step 3: Cross multiply
    36.07x = 86.38 × 86.38
  4. Step 4: Simplify right side
    36.07x = 7,461.32
  5. Step 5: Solve for x
    x = 7,461.32/36.07
  6. Step 6: Final answer
    x = 206.85

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.