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Finding the Third Proportional to 169,081 and 399,857

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Solution

The third proportional to 169,081 and 399,857 is: 945,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,081 : 399,857 = 399,857 : x
  2. Step 2: Convert to fraction form
    169,081/399,857 = 399,857/x
  3. Step 3: Cross multiply
    169,081x = 399,857 × 399,857
  4. Step 4: Simplify right side
    169,081x = 159,885,620,449
  5. Step 5: Solve for x
    x = 159,885,620,449/169,081
  6. Step 6: Final answer
    x = 945,615.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.