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Finding the Third Proportional to 262,136 and 561,622

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Solution

The third proportional to 262,136 and 561,622 is: 1,203,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,136 : 561,622 = 561,622 : x
  2. Step 2: Convert to fraction form
    262,136/561,622 = 561,622/x
  3. Step 3: Cross multiply
    262,136x = 561,622 × 561,622
  4. Step 4: Simplify right side
    262,136x = 315,419,270,884
  5. Step 5: Solve for x
    x = 315,419,270,884/262,136
  6. Step 6: Final answer
    x = 1,203,265.75

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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.