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Finding the Third Proportional to 218.63 and 478.88

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Solution

The third proportional to 218.63 and 478.88 is: 1,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.63 : 478.88 = 478.88 : x
  2. Step 2: Convert to fraction form
    218.63/478.88 = 478.88/x
  3. Step 3: Cross multiply
    218.63x = 478.88 × 478.88
  4. Step 4: Simplify right side
    218.63x = 229,321.27
  5. Step 5: Solve for x
    x = 229,321.27/218.63
  6. Step 6: Final answer
    x = 1,048.93

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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.