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Finding the Third Proportional to 323,729 and 479,314

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Solution

The third proportional to 323,729 and 479,314 is: 709,673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,729 : 479,314 = 479,314 : x
  2. Step 2: Convert to fraction form
    323,729/479,314 = 479,314/x
  3. Step 3: Cross multiply
    323,729x = 479,314 × 479,314
  4. Step 4: Simplify right side
    323,729x = 229,741,910,596
  5. Step 5: Solve for x
    x = 229,741,910,596/323,729
  6. Step 6: Final answer
    x = 709,673.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.