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Finding the Third Proportional to 198.84 and 418.36

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Solution

The third proportional to 198.84 and 418.36 is: 880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 418.36 = 418.36 : x
  2. Step 2: Convert to fraction form
    198.84/418.36 = 418.36/x
  3. Step 3: Cross multiply
    198.84x = 418.36 × 418.36
  4. Step 4: Simplify right side
    198.84x = 175,024.57
  5. Step 5: Solve for x
    x = 175,024.57/198.84
  6. Step 6: Final answer
    x = 880.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.