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Finding the Third Proportional to 306,974 and 629,163

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Solution

The third proportional to 306,974 and 629,163 is: 1,289,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,974 : 629,163 = 629,163 : x
  2. Step 2: Convert to fraction form
    306,974/629,163 = 629,163/x
  3. Step 3: Cross multiply
    306,974x = 629,163 × 629,163
  4. Step 4: Simplify right side
    306,974x = 395,846,080,569
  5. Step 5: Solve for x
    x = 395,846,080,569/306,974
  6. Step 6: Final answer
    x = 1,289,510.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.