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Finding the Third Proportional to 86.91 and 187.73

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Solution

The third proportional to 86.91 and 187.73 is: 405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.91 : 187.73 = 187.73 : x
  2. Step 2: Convert to fraction form
    86.91/187.73 = 187.73/x
  3. Step 3: Cross multiply
    86.91x = 187.73 × 187.73
  4. Step 4: Simplify right side
    86.91x = 35,244.20
  5. Step 5: Solve for x
    x = 35,244.20/86.91
  6. Step 6: Final answer
    x = 405.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.