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Finding the Third Proportional to 392,344 and 591,401

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Solution

The third proportional to 392,344 and 591,401 is: 891,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,344 : 591,401 = 591,401 : x
  2. Step 2: Convert to fraction form
    392,344/591,401 = 591,401/x
  3. Step 3: Cross multiply
    392,344x = 591,401 × 591,401
  4. Step 4: Simplify right side
    392,344x = 349,755,142,801
  5. Step 5: Solve for x
    x = 349,755,142,801/392,344
  6. Step 6: Final answer
    x = 891,450.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.