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Finding the Third Proportional to 185,920 and 381,728

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Solution

The third proportional to 185,920 and 381,728 is: 783,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,920 : 381,728 = 381,728 : x
  2. Step 2: Convert to fraction form
    185,920/381,728 = 381,728/x
  3. Step 3: Cross multiply
    185,920x = 381,728 × 381,728
  4. Step 4: Simplify right side
    185,920x = 145,716,265,984
  5. Step 5: Solve for x
    x = 145,716,265,984/185,920
  6. Step 6: Final answer
    x = 783,757.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.