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Finding the Third Proportional to 198.84 and 432.42

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Solution

The third proportional to 198.84 and 432.42 is: 940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 432.42 = 432.42 : x
  2. Step 2: Convert to fraction form
    198.84/432.42 = 432.42/x
  3. Step 3: Cross multiply
    198.84x = 432.42 × 432.42
  4. Step 4: Simplify right side
    198.84x = 186,988.68
  5. Step 5: Solve for x
    x = 186,988.68/198.84
  6. Step 6: Final answer
    x = 940.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.