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Finding the Third Proportional to 86.44 and 187.41

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Solution

The third proportional to 86.44 and 187.41 is: 406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.44 : 187.41 = 187.41 : x
  2. Step 2: Convert to fraction form
    86.44/187.41 = 187.41/x
  3. Step 3: Cross multiply
    86.44x = 187.41 × 187.41
  4. Step 4: Simplify right side
    86.44x = 35,121.10
  5. Step 5: Solve for x
    x = 35,121.10/86.44
  6. Step 6: Final answer
    x = 406.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.