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Finding the Third Proportional to 297,684 and 640,296

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Solution

The third proportional to 297,684 and 640,296 is: 1,377,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,684 : 640,296 = 640,296 : x
  2. Step 2: Convert to fraction form
    297,684/640,296 = 640,296/x
  3. Step 3: Cross multiply
    297,684x = 640,296 × 640,296
  4. Step 4: Simplify right side
    297,684x = 409,978,967,616
  5. Step 5: Solve for x
    x = 409,978,967,616/297,684
  6. Step 6: Final answer
    x = 1,377,228.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.