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Finding the Third Proportional to 257,728 and 522,704

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Solution

The third proportional to 257,728 and 522,704 is: 1,060,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,728 : 522,704 = 522,704 : x
  2. Step 2: Convert to fraction form
    257,728/522,704 = 522,704/x
  3. Step 3: Cross multiply
    257,728x = 522,704 × 522,704
  4. Step 4: Simplify right side
    257,728x = 273,219,471,616
  5. Step 5: Solve for x
    x = 273,219,471,616/257,728
  6. Step 6: Final answer
    x = 1,060,107.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.