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Finding the Third Proportional to 339,974 and 720,327

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Solution

The third proportional to 339,974 and 720,327 is: 1,526,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,974 : 720,327 = 720,327 : x
  2. Step 2: Convert to fraction form
    339,974/720,327 = 720,327/x
  3. Step 3: Cross multiply
    339,974x = 720,327 × 720,327
  4. Step 4: Simplify right side
    339,974x = 518,870,986,929
  5. Step 5: Solve for x
    x = 518,870,986,929/339,974
  6. Step 6: Final answer
    x = 1,526,207.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.