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Finding the Third Proportional to 179.40 and 395.82

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Solution

The third proportional to 179.40 and 395.82 is: 873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 395.82 = 395.82 : x
  2. Step 2: Convert to fraction form
    179.40/395.82 = 395.82/x
  3. Step 3: Cross multiply
    179.40x = 395.82 × 395.82
  4. Step 4: Simplify right side
    179.40x = 156,676.81
  5. Step 5: Solve for x
    x = 156,676.81/179.40
  6. Step 6: Final answer
    x = 873.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.