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Finding the Third Proportional to 198 and 357

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Solution

The third proportional to 198 and 357 is: 643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 357 = 357 : x
  2. Step 2: Convert to fraction form
    198/357 = 357/x
  3. Step 3: Cross multiply
    198x = 357 × 357
  4. Step 4: Simplify right side
    198x = 127,449
  5. Step 5: Solve for x
    x = 127,449/198
  6. Step 6: Final answer
    x = 643.68

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.