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Finding the Third Proportional to 262,078 and 561,551

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Solution

The third proportional to 262,078 and 561,551 is: 1,203,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,078 : 561,551 = 561,551 : x
  2. Step 2: Convert to fraction form
    262,078/561,551 = 561,551/x
  3. Step 3: Cross multiply
    262,078x = 561,551 × 561,551
  4. Step 4: Simplify right side
    262,078x = 315,339,525,601
  5. Step 5: Solve for x
    x = 315,339,525,601/262,078
  6. Step 6: Final answer
    x = 1,203,227.76

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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.