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Finding the Third Proportional to 379,661 and 534,040

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Solution

The third proportional to 379,661 and 534,040 is: 751,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,661 : 534,040 = 534,040 : x
  2. Step 2: Convert to fraction form
    379,661/534,040 = 534,040/x
  3. Step 3: Cross multiply
    379,661x = 534,040 × 534,040
  4. Step 4: Simplify right side
    379,661x = 285,198,721,600
  5. Step 5: Solve for x
    x = 285,198,721,600/379,661
  6. Step 6: Final answer
    x = 751,193.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.