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Finding the Third Proportional to 323,738 and 479,326

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Solution

The third proportional to 323,738 and 479,326 is: 709,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,738 : 479,326 = 479,326 : x
  2. Step 2: Convert to fraction form
    323,738/479,326 = 479,326/x
  3. Step 3: Cross multiply
    323,738x = 479,326 × 479,326
  4. Step 4: Simplify right side
    323,738x = 229,753,414,276
  5. Step 5: Solve for x
    x = 229,753,414,276/323,738
  6. Step 6: Final answer
    x = 709,689.36

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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.