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Finding the Third Proportional to 171,981 and 377,586

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Solution

The third proportional to 171,981 and 377,586 is: 828,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,981 : 377,586 = 377,586 : x
  2. Step 2: Convert to fraction form
    171,981/377,586 = 377,586/x
  3. Step 3: Cross multiply
    171,981x = 377,586 × 377,586
  4. Step 4: Simplify right side
    171,981x = 142,571,187,396
  5. Step 5: Solve for x
    x = 142,571,187,396/171,981
  6. Step 6: Final answer
    x = 828,993.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.