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Finding the Third Proportional to 300,561 and 449,899

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Solution

The third proportional to 300,561 and 449,899 is: 673,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,561 : 449,899 = 449,899 : x
  2. Step 2: Convert to fraction form
    300,561/449,899 = 449,899/x
  3. Step 3: Cross multiply
    300,561x = 449,899 × 449,899
  4. Step 4: Simplify right side
    300,561x = 202,409,110,201
  5. Step 5: Solve for x
    x = 202,409,110,201/300,561
  6. Step 6: Final answer
    x = 673,437.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.