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Finding the Third Proportional to 118.38 and 183.56

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Solution

The third proportional to 118.38 and 183.56 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.38 : 183.56 = 183.56 : x
  2. Step 2: Convert to fraction form
    118.38/183.56 = 183.56/x
  3. Step 3: Cross multiply
    118.38x = 183.56 × 183.56
  4. Step 4: Simplify right side
    118.38x = 33,695.19
  5. Step 5: Solve for x
    x = 33,695.19/118.38
  6. Step 6: Final answer
    x = 284.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.