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Finding the Third Proportional to 220.43 and 480.73

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Solution

The third proportional to 220.43 and 480.73 is: 1,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.43 : 480.73 = 480.73 : x
  2. Step 2: Convert to fraction form
    220.43/480.73 = 480.73/x
  3. Step 3: Cross multiply
    220.43x = 480.73 × 480.73
  4. Step 4: Simplify right side
    220.43x = 231,098.03
  5. Step 5: Solve for x
    x = 231,098.03/220.43
  6. Step 6: Final answer
    x = 1,048.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.