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Finding the Third Proportional to 209,846.75 and 449,610.75

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Solution

The third proportional to 209,846.75 and 449,610.75 is: 963,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,846.75 : 449,610.75 = 449,610.75 : x
  2. Step 2: Convert to fraction form
    209,846.75/449,610.75 = 449,610.75/x
  3. Step 3: Cross multiply
    209,846.75x = 449,610.75 × 449,610.75
  4. Step 4: Simplify right side
    209,846.75x = 202,149,826,515.56
  5. Step 5: Solve for x
    x = 202,149,826,515.56/209,846.75
  6. Step 6: Final answer
    x = 963,321.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.