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Finding the Third Proportional to 381,137 and 560,287

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Solution

The third proportional to 381,137 and 560,287 is: 823,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,137 : 560,287 = 560,287 : x
  2. Step 2: Convert to fraction form
    381,137/560,287 = 560,287/x
  3. Step 3: Cross multiply
    381,137x = 560,287 × 560,287
  4. Step 4: Simplify right side
    381,137x = 313,921,522,369
  5. Step 5: Solve for x
    x = 313,921,522,369/381,137
  6. Step 6: Final answer
    x = 823,644.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.