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Finding the Third Proportional to 174.19 and 370.78

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Solution

The third proportional to 174.19 and 370.78 is: 789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.19 : 370.78 = 370.78 : x
  2. Step 2: Convert to fraction form
    174.19/370.78 = 370.78/x
  3. Step 3: Cross multiply
    174.19x = 370.78 × 370.78
  4. Step 4: Simplify right side
    174.19x = 137,478.74
  5. Step 5: Solve for x
    x = 137,478.74/174.19
  6. Step 6: Final answer
    x = 789.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.