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Finding the Third Proportional to 436,684 and 694,392

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Solution

The third proportional to 436,684 and 694,392 is: 1,104,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,684 : 694,392 = 694,392 : x
  2. Step 2: Convert to fraction form
    436,684/694,392 = 694,392/x
  3. Step 3: Cross multiply
    436,684x = 694,392 × 694,392
  4. Step 4: Simplify right side
    436,684x = 482,180,249,664
  5. Step 5: Solve for x
    x = 482,180,249,664/436,684
  6. Step 6: Final answer
    x = 1,104,185.75

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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.