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Finding the Third Proportional to 20.82 and 46.45

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Solution

The third proportional to 20.82 and 46.45 is: 103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.82 : 46.45 = 46.45 : x
  2. Step 2: Convert to fraction form
    20.82/46.45 = 46.45/x
  3. Step 3: Cross multiply
    20.82x = 46.45 × 46.45
  4. Step 4: Simplify right side
    20.82x = 2,157.82
  5. Step 5: Solve for x
    x = 2,157.82/20.82
  6. Step 6: Final answer
    x = 103.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.