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Finding the Third Proportional to 291,566 and 640,204

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Solution

The third proportional to 291,566 and 640,204 is: 1,405,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,566 : 640,204 = 640,204 : x
  2. Step 2: Convert to fraction form
    291,566/640,204 = 640,204/x
  3. Step 3: Cross multiply
    291,566x = 640,204 × 640,204
  4. Step 4: Simplify right side
    291,566x = 409,861,161,616
  5. Step 5: Solve for x
    x = 409,861,161,616/291,566
  6. Step 6: Final answer
    x = 1,405,723.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.