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Finding the Third Proportional to 392,238 and 552,357

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Solution

The third proportional to 392,238 and 552,357 is: 777,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,238 : 552,357 = 552,357 : x
  2. Step 2: Convert to fraction form
    392,238/552,357 = 552,357/x
  3. Step 3: Cross multiply
    392,238x = 552,357 × 552,357
  4. Step 4: Simplify right side
    392,238x = 305,098,255,449
  5. Step 5: Solve for x
    x = 305,098,255,449/392,238
  6. Step 6: Final answer
    x = 777,839.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.