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Finding the Third Proportional to 174.45 and 255.45

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Solution

The third proportional to 174.45 and 255.45 is: 374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 255.45 = 255.45 : x
  2. Step 2: Convert to fraction form
    174.45/255.45 = 255.45/x
  3. Step 3: Cross multiply
    174.45x = 255.45 × 255.45
  4. Step 4: Simplify right side
    174.45x = 65,252.31
  5. Step 5: Solve for x
    x = 65,252.31/174.45
  6. Step 6: Final answer
    x = 374.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.