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Finding the Third Proportional to 122,529 and 263,829

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Solution

The third proportional to 122,529 and 263,829 is: 568,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,529 : 263,829 = 263,829 : x
  2. Step 2: Convert to fraction form
    122,529/263,829 = 263,829/x
  3. Step 3: Cross multiply
    122,529x = 263,829 × 263,829
  4. Step 4: Simplify right side
    122,529x = 69,605,741,241
  5. Step 5: Solve for x
    x = 69,605,741,241/122,529
  6. Step 6: Final answer
    x = 568,075.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.