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Finding the Third Proportional to 182.19 and 391.38

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Solution

The third proportional to 182.19 and 391.38 is: 840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.19 : 391.38 = 391.38 : x
  2. Step 2: Convert to fraction form
    182.19/391.38 = 391.38/x
  3. Step 3: Cross multiply
    182.19x = 391.38 × 391.38
  4. Step 4: Simplify right side
    182.19x = 153,174.39
  5. Step 5: Solve for x
    x = 153,174.39/182.19
  6. Step 6: Final answer
    x = 840.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.