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Finding the Third Proportional to 297,326 and 641,308

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Solution

The third proportional to 297,326 and 641,308 is: 1,383,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,326 : 641,308 = 641,308 : x
  2. Step 2: Convert to fraction form
    297,326/641,308 = 641,308/x
  3. Step 3: Cross multiply
    297,326x = 641,308 × 641,308
  4. Step 4: Simplify right side
    297,326x = 411,275,950,864
  5. Step 5: Solve for x
    x = 411,275,950,864/297,326
  6. Step 6: Final answer
    x = 1,383,249.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.