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Finding the Third Proportional to 185,911 and 381,710

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Solution

The third proportional to 185,911 and 381,710 is: 783,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,911 : 381,710 = 381,710 : x
  2. Step 2: Convert to fraction form
    185,911/381,710 = 381,710/x
  3. Step 3: Cross multiply
    185,911x = 381,710 × 381,710
  4. Step 4: Simplify right side
    185,911x = 145,702,524,100
  5. Step 5: Solve for x
    x = 145,702,524,100/185,911
  6. Step 6: Final answer
    x = 783,721.91

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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.