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Finding the Third Proportional to 209,872 and 449,687

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Solution

The third proportional to 209,872 and 449,687 is: 963,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872 : 449,687 = 449,687 : x
  2. Step 2: Convert to fraction form
    209,872/449,687 = 449,687/x
  3. Step 3: Cross multiply
    209,872x = 449,687 × 449,687
  4. Step 4: Simplify right side
    209,872x = 202,218,397,969
  5. Step 5: Solve for x
    x = 202,218,397,969/209,872
  6. Step 6: Final answer
    x = 963,532.05

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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.