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Finding the Third Proportional to 307,249.50 and 629,259

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Solution

The third proportional to 307,249.50 and 629,259 is: 1,288,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,249.50 : 629,259 = 629,259 : x
  2. Step 2: Convert to fraction form
    307,249.50/629,259 = 629,259/x
  3. Step 3: Cross multiply
    307,249.50x = 629,259 × 629,259
  4. Step 4: Simplify right side
    307,249.50x = 395,966,889,081
  5. Step 5: Solve for x
    x = 395,966,889,081/307,249.50
  6. Step 6: Final answer
    x = 1,288,747.06

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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.