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Finding the Third Proportional to 198.84 and 387.84

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Solution

The third proportional to 198.84 and 387.84 is: 756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 387.84 = 387.84 : x
  2. Step 2: Convert to fraction form
    198.84/387.84 = 387.84/x
  3. Step 3: Cross multiply
    198.84x = 387.84 × 387.84
  4. Step 4: Simplify right side
    198.84x = 150,422.77
  5. Step 5: Solve for x
    x = 150,422.77/198.84
  6. Step 6: Final answer
    x = 756.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.