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Finding the Third Proportional to 250,369 and 381,859

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Solution

The third proportional to 250,369 and 381,859 is: 582,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,369 : 381,859 = 381,859 : x
  2. Step 2: Convert to fraction form
    250,369/381,859 = 381,859/x
  3. Step 3: Cross multiply
    250,369x = 381,859 × 381,859
  4. Step 4: Simplify right side
    250,369x = 145,816,295,881
  5. Step 5: Solve for x
    x = 145,816,295,881/250,369
  6. Step 6: Final answer
    x = 582,405.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.