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Finding the Third Proportional to 297,320 and 641,296

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Solution

The third proportional to 297,320 and 641,296 is: 1,383,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,320 : 641,296 = 641,296 : x
  2. Step 2: Convert to fraction form
    297,320/641,296 = 641,296/x
  3. Step 3: Cross multiply
    297,320x = 641,296 × 641,296
  4. Step 4: Simplify right side
    297,320x = 411,260,559,616
  5. Step 5: Solve for x
    x = 411,260,559,616/297,320
  6. Step 6: Final answer
    x = 1,383,225.35

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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.