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Finding the Third Proportional to 9,777 and 20,766

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Solution

The third proportional to 9,777 and 20,766 is: 44,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777 : 20,766 = 20,766 : x
  2. Step 2: Convert to fraction form
    9,777/20,766 = 20,766/x
  3. Step 3: Cross multiply
    9,777x = 20,766 × 20,766
  4. Step 4: Simplify right side
    9,777x = 431,226,756
  5. Step 5: Solve for x
    x = 431,226,756/9,777
  6. Step 6: Final answer
    x = 44,106.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.