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Finding the Third Proportional to 171,189 and 381,717

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Solution

The third proportional to 171,189 and 381,717 is: 851,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,189 : 381,717 = 381,717 : x
  2. Step 2: Convert to fraction form
    171,189/381,717 = 381,717/x
  3. Step 3: Cross multiply
    171,189x = 381,717 × 381,717
  4. Step 4: Simplify right side
    171,189x = 145,707,868,089
  5. Step 5: Solve for x
    x = 145,707,868,089/171,189
  6. Step 6: Final answer
    x = 851,152.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.