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Finding the Third Proportional to 219.13 and 478.88

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Solution

The third proportional to 219.13 and 478.88 is: 1,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.13 : 478.88 = 478.88 : x
  2. Step 2: Convert to fraction form
    219.13/478.88 = 478.88/x
  3. Step 3: Cross multiply
    219.13x = 478.88 × 478.88
  4. Step 4: Simplify right side
    219.13x = 229,321.27
  5. Step 5: Solve for x
    x = 229,321.27/219.13
  6. Step 6: Final answer
    x = 1,046.53

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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.