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Finding the Third Proportional to 203,669 and 308,891

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Solution

The third proportional to 203,669 and 308,891 is: 468,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,669 : 308,891 = 308,891 : x
  2. Step 2: Convert to fraction form
    203,669/308,891 = 308,891/x
  3. Step 3: Cross multiply
    203,669x = 308,891 × 308,891
  4. Step 4: Simplify right side
    203,669x = 95,413,649,881
  5. Step 5: Solve for x
    x = 95,413,649,881/203,669
  6. Step 6: Final answer
    x = 468,474.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.