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Finding the Third Proportional to 86.26 and 183.20

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Solution

The third proportional to 86.26 and 183.20 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.26 : 183.20 = 183.20 : x
  2. Step 2: Convert to fraction form
    86.26/183.20 = 183.20/x
  3. Step 3: Cross multiply
    86.26x = 183.20 × 183.20
  4. Step 4: Simplify right side
    86.26x = 33,561.95
  5. Step 5: Solve for x
    x = 33,561.95/86.26
  6. Step 6: Final answer
    x = 389.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.