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Finding the Third Proportional to 7,123 and 11,057

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Solution

The third proportional to 7,123 and 11,057 is: 17,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123 : 11,057 = 11,057 : x
  2. Step 2: Convert to fraction form
    7,123/11,057 = 11,057/x
  3. Step 3: Cross multiply
    7,123x = 11,057 × 11,057
  4. Step 4: Simplify right side
    7,123x = 122,257,249
  5. Step 5: Solve for x
    x = 122,257,249/7,123
  6. Step 6: Final answer
    x = 17,163.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.