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Finding the Third Proportional to 83.66 and 183.56

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Solution

The third proportional to 83.66 and 183.56 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.66 : 183.56 = 183.56 : x
  2. Step 2: Convert to fraction form
    83.66/183.56 = 183.56/x
  3. Step 3: Cross multiply
    83.66x = 183.56 × 183.56
  4. Step 4: Simplify right side
    83.66x = 33,695.19
  5. Step 5: Solve for x
    x = 33,695.19/83.66
  6. Step 6: Final answer
    x = 402.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.