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Finding the Third Proportional to 174.09 and 374.34

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Solution

The third proportional to 174.09 and 374.34 is: 804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 374.34 = 374.34 : x
  2. Step 2: Convert to fraction form
    174.09/374.34 = 374.34/x
  3. Step 3: Cross multiply
    174.09x = 374.34 × 374.34
  4. Step 4: Simplify right side
    174.09x = 140,133.24
  5. Step 5: Solve for x
    x = 140,133.24/174.09
  6. Step 6: Final answer
    x = 804.93

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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.