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Finding the Third Proportional to 198.07 and 432.74

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Solution

The third proportional to 198.07 and 432.74 is: 945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.07 : 432.74 = 432.74 : x
  2. Step 2: Convert to fraction form
    198.07/432.74 = 432.74/x
  3. Step 3: Cross multiply
    198.07x = 432.74 × 432.74
  4. Step 4: Simplify right side
    198.07x = 187,262.42
  5. Step 5: Solve for x
    x = 187,262.42/198.07
  6. Step 6: Final answer
    x = 945.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.