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Finding the Third Proportional to 174.09 and 378.56

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Solution

The third proportional to 174.09 and 378.56 is: 823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 378.56 = 378.56 : x
  2. Step 2: Convert to fraction form
    174.09/378.56 = 378.56/x
  3. Step 3: Cross multiply
    174.09x = 378.56 × 378.56
  4. Step 4: Simplify right side
    174.09x = 143,309.57
  5. Step 5: Solve for x
    x = 143,309.57/174.09
  6. Step 6: Final answer
    x = 823.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.