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Finding the Third Proportional to 420,520 and 629,039

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Solution

The third proportional to 420,520 and 629,039 is: 940,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,520 : 629,039 = 629,039 : x
  2. Step 2: Convert to fraction form
    420,520/629,039 = 629,039/x
  3. Step 3: Cross multiply
    420,520x = 629,039 × 629,039
  4. Step 4: Simplify right side
    420,520x = 395,690,063,521
  5. Step 5: Solve for x
    x = 395,690,063,521/420,520
  6. Step 6: Final answer
    x = 940,954.21

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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.