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Finding the Third Proportional to 20,880 and 36,799

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Solution

The third proportional to 20,880 and 36,799 is: 64,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880 : 36,799 = 36,799 : x
  2. Step 2: Convert to fraction form
    20,880/36,799 = 36,799/x
  3. Step 3: Cross multiply
    20,880x = 36,799 × 36,799
  4. Step 4: Simplify right side
    20,880x = 1,354,166,401
  5. Step 5: Solve for x
    x = 1,354,166,401/20,880
  6. Step 6: Final answer
    x = 64,854.71

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.