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Finding the Third Proportional to 381,894 and 561,663

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Solution

The third proportional to 381,894 and 561,663 is: 826,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,894 : 561,663 = 561,663 : x
  2. Step 2: Convert to fraction form
    381,894/561,663 = 561,663/x
  3. Step 3: Cross multiply
    381,894x = 561,663 × 561,663
  4. Step 4: Simplify right side
    381,894x = 315,465,325,569
  5. Step 5: Solve for x
    x = 315,465,325,569/381,894
  6. Step 6: Final answer
    x = 826,054.68

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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.