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Finding the Third Proportional to 90.75 and 198.19

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Solution

The third proportional to 90.75 and 198.19 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.75 : 198.19 = 198.19 : x
  2. Step 2: Convert to fraction form
    90.75/198.19 = 198.19/x
  3. Step 3: Cross multiply
    90.75x = 198.19 × 198.19
  4. Step 4: Simplify right side
    90.75x = 39,278.29
  5. Step 5: Solve for x
    x = 39,278.29/90.75
  6. Step 6: Final answer
    x = 432.82

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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.