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Finding the Third Proportional to 207,828 and 449,813

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Solution

The third proportional to 207,828 and 449,813 is: 973,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,828 : 449,813 = 449,813 : x
  2. Step 2: Convert to fraction form
    207,828/449,813 = 449,813/x
  3. Step 3: Cross multiply
    207,828x = 449,813 × 449,813
  4. Step 4: Simplify right side
    207,828x = 202,331,734,969
  5. Step 5: Solve for x
    x = 202,331,734,969/207,828
  6. Step 6: Final answer
    x = 973,553.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.