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Finding the Third Proportional to 209,638 and 452,474

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Solution

The third proportional to 209,638 and 452,474 is: 976,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638 : 452,474 = 452,474 : x
  2. Step 2: Convert to fraction form
    209,638/452,474 = 452,474/x
  3. Step 3: Cross multiply
    209,638x = 452,474 × 452,474
  4. Step 4: Simplify right side
    209,638x = 204,732,720,676
  5. Step 5: Solve for x
    x = 204,732,720,676/209,638
  6. Step 6: Final answer
    x = 976,601.19

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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.