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Finding the Third Proportional to 85.24 and 186.66

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Solution

The third proportional to 85.24 and 186.66 is: 408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.24 : 186.66 = 186.66 : x
  2. Step 2: Convert to fraction form
    85.24/186.66 = 186.66/x
  3. Step 3: Cross multiply
    85.24x = 186.66 × 186.66
  4. Step 4: Simplify right side
    85.24x = 34,840.56
  5. Step 5: Solve for x
    x = 34,840.56/85.24
  6. Step 6: Final answer
    x = 408.72

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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.