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Finding the Third Proportional to 91.49 and 190.21

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Solution

The third proportional to 91.49 and 190.21 is: 395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.49 : 190.21 = 190.21 : x
  2. Step 2: Convert to fraction form
    91.49/190.21 = 190.21/x
  3. Step 3: Cross multiply
    91.49x = 190.21 × 190.21
  4. Step 4: Simplify right side
    91.49x = 36,180.17
  5. Step 5: Solve for x
    x = 36,180.17/91.49
  6. Step 6: Final answer
    x = 395.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.