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Finding the Third Proportional to 409,324 and 890,204

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Solution

The third proportional to 409,324 and 890,204 is: 1,936,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,324 : 890,204 = 890,204 : x
  2. Step 2: Convert to fraction form
    409,324/890,204 = 890,204/x
  3. Step 3: Cross multiply
    409,324x = 890,204 × 890,204
  4. Step 4: Simplify right side
    409,324x = 792,463,161,616
  5. Step 5: Solve for x
    x = 792,463,161,616/409,324
  6. Step 6: Final answer
    x = 1,936,029.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.