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Finding the Third Proportional to 183.66 and 275.20

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Solution

The third proportional to 183.66 and 275.20 is: 412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 275.20 = 275.20 : x
  2. Step 2: Convert to fraction form
    183.66/275.20 = 275.20/x
  3. Step 3: Cross multiply
    183.66x = 275.20 × 275.20
  4. Step 4: Simplify right side
    183.66x = 75,736.76
  5. Step 5: Solve for x
    x = 75,736.76/183.66
  6. Step 6: Final answer
    x = 412.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.