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Finding the Third Proportional to 275,601 and 413,403

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Solution

The third proportional to 275,601 and 413,403 is: 620,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,601 : 413,403 = 413,403 : x
  2. Step 2: Convert to fraction form
    275,601/413,403 = 413,403/x
  3. Step 3: Cross multiply
    275,601x = 413,403 × 413,403
  4. Step 4: Simplify right side
    275,601x = 170,902,040,409
  5. Step 5: Solve for x
    x = 170,902,040,409/275,601
  6. Step 6: Final answer
    x = 620,106.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.