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Finding the Third Proportional to 392,307 and 606,204

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Solution

The third proportional to 392,307 and 606,204 is: 936,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,307 : 606,204 = 606,204 : x
  2. Step 2: Convert to fraction form
    392,307/606,204 = 606,204/x
  3. Step 3: Cross multiply
    392,307x = 606,204 × 606,204
  4. Step 4: Simplify right side
    392,307x = 367,483,289,616
  5. Step 5: Solve for x
    x = 367,483,289,616/392,307
  6. Step 6: Final answer
    x = 936,723.76

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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.