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Finding the Third Proportional to 20,880 and 45,921

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Solution

The third proportional to 20,880 and 45,921 is: 100,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880 : 45,921 = 45,921 : x
  2. Step 2: Convert to fraction form
    20,880/45,921 = 45,921/x
  3. Step 3: Cross multiply
    20,880x = 45,921 × 45,921
  4. Step 4: Simplify right side
    20,880x = 2,108,738,241
  5. Step 5: Solve for x
    x = 2,108,738,241/20,880
  6. Step 6: Final answer
    x = 100,993.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.