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Finding the Third Proportional to 209,889 and 449,698

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Solution

The third proportional to 209,889 and 449,698 is: 963,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889 : 449,698 = 449,698 : x
  2. Step 2: Convert to fraction form
    209,889/449,698 = 449,698/x
  3. Step 3: Cross multiply
    209,889x = 449,698 × 449,698
  4. Step 4: Simplify right side
    209,889x = 202,228,291,204
  5. Step 5: Solve for x
    x = 202,228,291,204/209,889
  6. Step 6: Final answer
    x = 963,501.14

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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.