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Finding the Third Proportional to 252,872 and 379,980

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Solution

The third proportional to 252,872 and 379,980 is: 570,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,872 : 379,980 = 379,980 : x
  2. Step 2: Convert to fraction form
    252,872/379,980 = 379,980/x
  3. Step 3: Cross multiply
    252,872x = 379,980 × 379,980
  4. Step 4: Simplify right side
    252,872x = 144,384,800,400
  5. Step 5: Solve for x
    x = 144,384,800,400/252,872
  6. Step 6: Final answer
    x = 570,979.79

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