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Finding the Third Proportional to 90.18 and 136.21

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Solution

The third proportional to 90.18 and 136.21 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.18 : 136.21 = 136.21 : x
  2. Step 2: Convert to fraction form
    90.18/136.21 = 136.21/x
  3. Step 3: Cross multiply
    90.18x = 136.21 × 136.21
  4. Step 4: Simplify right side
    90.18x = 18,553.95
  5. Step 5: Solve for x
    x = 18,553.95/90.18
  6. Step 6: Final answer
    x = 205.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.