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Finding the Third Proportional to 219.96 and 480.71

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Solution

The third proportional to 219.96 and 480.71 is: 1,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.96 : 480.71 = 480.71 : x
  2. Step 2: Convert to fraction form
    219.96/480.71 = 480.71/x
  3. Step 3: Cross multiply
    219.96x = 480.71 × 480.71
  4. Step 4: Simplify right side
    219.96x = 231,085.35
  5. Step 5: Solve for x
    x = 231,085.35/219.96
  6. Step 6: Final answer
    x = 1,050.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.