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Finding the Third Proportional to 218.88 and 447.88

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Solution

The third proportional to 218.88 and 447.88 is: 916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.88 : 447.88 = 447.88 : x
  2. Step 2: Convert to fraction form
    218.88/447.88 = 447.88/x
  3. Step 3: Cross multiply
    218.88x = 447.88 × 447.88
  4. Step 4: Simplify right side
    218.88x = 200,592.02
  5. Step 5: Solve for x
    x = 200,592.02/218.88
  6. Step 6: Final answer
    x = 916.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.