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Finding the Third Proportional to 381,996 and 581,293

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Solution

The third proportional to 381,996 and 581,293 is: 884,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,996 : 581,293 = 581,293 : x
  2. Step 2: Convert to fraction form
    381,996/581,293 = 581,293/x
  3. Step 3: Cross multiply
    381,996x = 581,293 × 581,293
  4. Step 4: Simplify right side
    381,996x = 337,901,551,849
  5. Step 5: Solve for x
    x = 337,901,551,849/381,996
  6. Step 6: Final answer
    x = 884,568.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.