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Finding the Third Proportional to 209,002 and 323,727

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Solution

The third proportional to 209,002 and 323,727 is: 501,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,002 : 323,727 = 323,727 : x
  2. Step 2: Convert to fraction form
    209,002/323,727 = 323,727/x
  3. Step 3: Cross multiply
    209,002x = 323,727 × 323,727
  4. Step 4: Simplify right side
    209,002x = 104,799,170,529
  5. Step 5: Solve for x
    x = 104,799,170,529/209,002
  6. Step 6: Final answer
    x = 501,426.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.