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Finding the Third Proportional to 307,249 and 629,257

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Solution

The third proportional to 307,249 and 629,257 is: 1,288,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,249 : 629,257 = 629,257 : x
  2. Step 2: Convert to fraction form
    307,249/629,257 = 629,257/x
  3. Step 3: Cross multiply
    307,249x = 629,257 × 629,257
  4. Step 4: Simplify right side
    307,249x = 395,964,372,049
  5. Step 5: Solve for x
    x = 395,964,372,049/307,249
  6. Step 6: Final answer
    x = 1,288,740.96

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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.