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Finding the Third Proportional to 183,847 and 399,269

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Solution

The third proportional to 183,847 and 399,269 is: 867,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,847 : 399,269 = 399,269 : x
  2. Step 2: Convert to fraction form
    183,847/399,269 = 399,269/x
  3. Step 3: Cross multiply
    183,847x = 399,269 × 399,269
  4. Step 4: Simplify right side
    183,847x = 159,415,734,361
  5. Step 5: Solve for x
    x = 159,415,734,361/183,847
  6. Step 6: Final answer
    x = 867,110.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.