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Finding the Third Proportional to 381,462 and 560,508

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Solution

The third proportional to 381,462 and 560,508 is: 823,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,462 : 560,508 = 560,508 : x
  2. Step 2: Convert to fraction form
    381,462/560,508 = 560,508/x
  3. Step 3: Cross multiply
    381,462x = 560,508 × 560,508
  4. Step 4: Simplify right side
    381,462x = 314,169,218,064
  5. Step 5: Solve for x
    x = 314,169,218,064/381,462
  6. Step 6: Final answer
    x = 823,592.44

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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.