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Finding the Third Proportional to 86.44 and 188.81

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Solution

The third proportional to 86.44 and 188.81 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.44 : 188.81 = 188.81 : x
  2. Step 2: Convert to fraction form
    86.44/188.81 = 188.81/x
  3. Step 3: Cross multiply
    86.44x = 188.81 × 188.81
  4. Step 4: Simplify right side
    86.44x = 35,650.16
  5. Step 5: Solve for x
    x = 35,650.16/86.44
  6. Step 6: Final answer
    x = 412.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.