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Finding the Third Proportional to 198.13 and 435.88

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Solution

The third proportional to 198.13 and 435.88 is: 958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.13 : 435.88 = 435.88 : x
  2. Step 2: Convert to fraction form
    198.13/435.88 = 435.88/x
  3. Step 3: Cross multiply
    198.13x = 435.88 × 435.88
  4. Step 4: Simplify right side
    198.13x = 189,987.02
  5. Step 5: Solve for x
    x = 189,987.02/198.13
  6. Step 6: Final answer
    x = 958.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.