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Finding the Third Proportional to 209,860 and 449,638

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Solution

The third proportional to 209,860 and 449,638 is: 963,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,860 : 449,638 = 449,638 : x
  2. Step 2: Convert to fraction form
    209,860/449,638 = 449,638/x
  3. Step 3: Cross multiply
    209,860x = 449,638 × 449,638
  4. Step 4: Simplify right side
    209,860x = 202,174,331,044
  5. Step 5: Solve for x
    x = 202,174,331,044/209,860
  6. Step 6: Final answer
    x = 963,377.16

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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.