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Finding the Third Proportional to 313,329 and 643,249

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Solution

The third proportional to 313,329 and 643,249 is: 1,320,558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,329 : 643,249 = 643,249 : x
  2. Step 2: Convert to fraction form
    313,329/643,249 = 643,249/x
  3. Step 3: Cross multiply
    313,329x = 643,249 × 643,249
  4. Step 4: Simplify right side
    313,329x = 413,769,276,001
  5. Step 5: Solve for x
    x = 413,769,276,001/313,329
  6. Step 6: Final answer
    x = 1,320,558.51

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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.