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Finding the Third Proportional to 419,495 and 629,287

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Solution

The third proportional to 419,495 and 629,287 is: 943,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,495 : 629,287 = 629,287 : x
  2. Step 2: Convert to fraction form
    419,495/629,287 = 629,287/x
  3. Step 3: Cross multiply
    419,495x = 629,287 × 629,287
  4. Step 4: Simplify right side
    419,495x = 396,002,128,369
  5. Step 5: Solve for x
    x = 396,002,128,369/419,495
  6. Step 6: Final answer
    x = 943,997.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.