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Finding the Third Proportional to 86.12 and 183.78

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Solution

The third proportional to 86.12 and 183.78 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.12 : 183.78 = 183.78 : x
  2. Step 2: Convert to fraction form
    86.12/183.78 = 183.78/x
  3. Step 3: Cross multiply
    86.12x = 183.78 × 183.78
  4. Step 4: Simplify right side
    86.12x = 33,774.83
  5. Step 5: Solve for x
    x = 33,774.83/86.12
  6. Step 6: Final answer
    x = 392.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.