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Finding the Third Proportional to 10,777 and 22,529

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Solution

The third proportional to 10,777 and 22,529 is: 47,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777 : 22,529 = 22,529 : x
  2. Step 2: Convert to fraction form
    10,777/22,529 = 22,529/x
  3. Step 3: Cross multiply
    10,777x = 22,529 × 22,529
  4. Step 4: Simplify right side
    10,777x = 507,555,841
  5. Step 5: Solve for x
    x = 507,555,841/10,777
  6. Step 6: Final answer
    x = 47,096.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.