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Finding the Third Proportional to 91.13 and 198.28

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Solution

The third proportional to 91.13 and 198.28 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 198.28 = 198.28 : x
  2. Step 2: Convert to fraction form
    91.13/198.28 = 198.28/x
  3. Step 3: Cross multiply
    91.13x = 198.28 × 198.28
  4. Step 4: Simplify right side
    91.13x = 39,315.45
  5. Step 5: Solve for x
    x = 39,315.45/91.13
  6. Step 6: Final answer
    x = 431.45

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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.