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Finding the Third Proportional to 20,990 and 45,204

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Solution

The third proportional to 20,990 and 45,204 is: 97,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990 : 45,204 = 45,204 : x
  2. Step 2: Convert to fraction form
    20,990/45,204 = 45,204/x
  3. Step 3: Cross multiply
    20,990x = 45,204 × 45,204
  4. Step 4: Simplify right side
    20,990x = 2,043,401,616
  5. Step 5: Solve for x
    x = 2,043,401,616/20,990
  6. Step 6: Final answer
    x = 97,351.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.