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Finding the Third Proportional to 227.38 and 487.94

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Solution

The third proportional to 227.38 and 487.94 is: 1,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.38 : 487.94 = 487.94 : x
  2. Step 2: Convert to fraction form
    227.38/487.94 = 487.94/x
  3. Step 3: Cross multiply
    227.38x = 487.94 × 487.94
  4. Step 4: Simplify right side
    227.38x = 238,083.00
  5. Step 5: Solve for x
    x = 238,083.00/227.38
  6. Step 6: Final answer
    x = 1,047.09

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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.