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Finding the Third Proportional to 91.84 and 198.15

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Solution

The third proportional to 91.84 and 198.15 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.84 : 198.15 = 198.15 : x
  2. Step 2: Convert to fraction form
    91.84/198.15 = 198.15/x
  3. Step 3: Cross multiply
    91.84x = 198.15 × 198.15
  4. Step 4: Simplify right side
    91.84x = 39,263.19
  5. Step 5: Solve for x
    x = 39,263.19/91.84
  6. Step 6: Final answer
    x = 427.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.