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Finding the Third Proportional to 22.45 and 41.66

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Solution

The third proportional to 22.45 and 41.66 is: 77.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.45 : 41.66 = 41.66 : x
  2. Step 2: Convert to fraction form
    22.45/41.66 = 41.66/x
  3. Step 3: Cross multiply
    22.45x = 41.66 × 41.66
  4. Step 4: Simplify right side
    22.45x = 1,735.52
  5. Step 5: Solve for x
    x = 1,735.52/22.45
  6. Step 6: Final answer
    x = 77.31

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.