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Finding the Third Proportional to 85.92 and 178.49

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Solution

The third proportional to 85.92 and 178.49 is: 370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.92 : 178.49 = 178.49 : x
  2. Step 2: Convert to fraction form
    85.92/178.49 = 178.49/x
  3. Step 3: Cross multiply
    85.92x = 178.49 × 178.49
  4. Step 4: Simplify right side
    85.92x = 31,858.07
  5. Step 5: Solve for x
    x = 31,858.07/85.92
  6. Step 6: Final answer
    x = 370.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.