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Finding the Third Proportional to 179.19 and 404.38

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Solution

The third proportional to 179.19 and 404.38 is: 912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.19 : 404.38 = 404.38 : x
  2. Step 2: Convert to fraction form
    179.19/404.38 = 404.38/x
  3. Step 3: Cross multiply
    179.19x = 404.38 × 404.38
  4. Step 4: Simplify right side
    179.19x = 163,519.14
  5. Step 5: Solve for x
    x = 163,519.14/179.19
  6. Step 6: Final answer
    x = 912.56

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.