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Finding the Third Proportional to 227.74 and 505.27

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Solution

The third proportional to 227.74 and 505.27 is: 1,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.74 : 505.27 = 505.27 : x
  2. Step 2: Convert to fraction form
    227.74/505.27 = 505.27/x
  3. Step 3: Cross multiply
    227.74x = 505.27 × 505.27
  4. Step 4: Simplify right side
    227.74x = 255,293.35
  5. Step 5: Solve for x
    x = 255,293.35/227.74
  6. Step 6: Final answer
    x = 1,120.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.