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Finding the Third Proportional to 251,539 and 379,661

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Solution

The third proportional to 251,539 and 379,661 is: 573,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,539 : 379,661 = 379,661 : x
  2. Step 2: Convert to fraction form
    251,539/379,661 = 379,661/x
  3. Step 3: Cross multiply
    251,539x = 379,661 × 379,661
  4. Step 4: Simplify right side
    251,539x = 144,142,474,921
  5. Step 5: Solve for x
    x = 144,142,474,921/251,539
  6. Step 6: Final answer
    x = 573,042.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.