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Finding the Third Proportional to 436,690 and 694,401

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Solution

The third proportional to 436,690 and 694,401 is: 1,104,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,690 : 694,401 = 694,401 : x
  2. Step 2: Convert to fraction form
    436,690/694,401 = 694,401/x
  3. Step 3: Cross multiply
    436,690x = 694,401 × 694,401
  4. Step 4: Simplify right side
    436,690x = 482,192,748,801
  5. Step 5: Solve for x
    x = 482,192,748,801/436,690
  6. Step 6: Final answer
    x = 1,104,199.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.