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Finding the Third Proportional to 419,502 and 629,298

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Solution

The third proportional to 419,502 and 629,298 is: 944,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,502 : 629,298 = 629,298 : x
  2. Step 2: Convert to fraction form
    419,502/629,298 = 629,298/x
  3. Step 3: Cross multiply
    419,502x = 629,298 × 629,298
  4. Step 4: Simplify right side
    419,502x = 396,015,972,804
  5. Step 5: Solve for x
    x = 396,015,972,804/419,502
  6. Step 6: Final answer
    x = 944,014.50

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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.