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Finding the Third Proportional to 85.41 and 186.84

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Solution

The third proportional to 85.41 and 186.84 is: 408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.41 : 186.84 = 186.84 : x
  2. Step 2: Convert to fraction form
    85.41/186.84 = 186.84/x
  3. Step 3: Cross multiply
    85.41x = 186.84 × 186.84
  4. Step 4: Simplify right side
    85.41x = 34,910.59
  5. Step 5: Solve for x
    x = 34,910.59/85.41
  6. Step 6: Final answer
    x = 408.76

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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.