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Finding the Third Proportional to 20,821 and 45,474

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Solution

The third proportional to 20,821 and 45,474 is: 99,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821 : 45,474 = 45,474 : x
  2. Step 2: Convert to fraction form
    20,821/45,474 = 45,474/x
  3. Step 3: Cross multiply
    20,821x = 45,474 × 45,474
  4. Step 4: Simplify right side
    20,821x = 2,067,884,676
  5. Step 5: Solve for x
    x = 2,067,884,676/20,821
  6. Step 6: Final answer
    x = 99,317.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.