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Finding the Third Proportional to 224.25 and 442.88

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Solution

The third proportional to 224.25 and 442.88 is: 874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 442.88 = 442.88 : x
  2. Step 2: Convert to fraction form
    224.25/442.88 = 442.88/x
  3. Step 3: Cross multiply
    224.25x = 442.88 × 442.88
  4. Step 4: Simplify right side
    224.25x = 196,138.27
  5. Step 5: Solve for x
    x = 196,138.27/224.25
  6. Step 6: Final answer
    x = 874.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.