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Finding the Third Proportional to 209,932 and 449,812

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Solution

The third proportional to 209,932 and 449,812 is: 963,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,932 : 449,812 = 449,812 : x
  2. Step 2: Convert to fraction form
    209,932/449,812 = 449,812/x
  3. Step 3: Cross multiply
    209,932x = 449,812 × 449,812
  4. Step 4: Simplify right side
    209,932x = 202,330,835,344
  5. Step 5: Solve for x
    x = 202,330,835,344/209,932
  6. Step 6: Final answer
    x = 963,792.25

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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.