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Finding the Third Proportional to 262,138 and 561,626

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Solution

The third proportional to 262,138 and 561,626 is: 1,203,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,138 : 561,626 = 561,626 : x
  2. Step 2: Convert to fraction form
    262,138/561,626 = 561,626/x
  3. Step 3: Cross multiply
    262,138x = 561,626 × 561,626
  4. Step 4: Simplify right side
    262,138x = 315,423,763,876
  5. Step 5: Solve for x
    x = 315,423,763,876/262,138
  6. Step 6: Final answer
    x = 1,203,273.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.