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Finding the Third Proportional to 305,889 and 449,805

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Solution

The third proportional to 305,889 and 449,805 is: 661,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,889 : 449,805 = 449,805 : x
  2. Step 2: Convert to fraction form
    305,889/449,805 = 449,805/x
  3. Step 3: Cross multiply
    305,889x = 449,805 × 449,805
  4. Step 4: Simplify right side
    305,889x = 202,324,538,025
  5. Step 5: Solve for x
    x = 202,324,538,025/305,889
  6. Step 6: Final answer
    x = 661,431.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.