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Finding the Third Proportional to 257,702 and 522,329

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Solution

The third proportional to 257,702 and 522,329 is: 1,058,694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,702 : 522,329 = 522,329 : x
  2. Step 2: Convert to fraction form
    257,702/522,329 = 522,329/x
  3. Step 3: Cross multiply
    257,702x = 522,329 × 522,329
  4. Step 4: Simplify right side
    257,702x = 272,827,584,241
  5. Step 5: Solve for x
    x = 272,827,584,241/257,702
  6. Step 6: Final answer
    x = 1,058,694.09

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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.