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Finding the Third Proportional to 228.05 and 494.54

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Solution

The third proportional to 228.05 and 494.54 is: 1,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.05 : 494.54 = 494.54 : x
  2. Step 2: Convert to fraction form
    228.05/494.54 = 494.54/x
  3. Step 3: Cross multiply
    228.05x = 494.54 × 494.54
  4. Step 4: Simplify right side
    228.05x = 244,572.75
  5. Step 5: Solve for x
    x = 244,572.75/228.05
  6. Step 6: Final answer
    x = 1,072.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.