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Finding the Third Proportional to 408,685 and 890,936

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Solution

The third proportional to 408,685 and 890,936 is: 1,942,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,685 : 890,936 = 890,936 : x
  2. Step 2: Convert to fraction form
    408,685/890,936 = 890,936/x
  3. Step 3: Cross multiply
    408,685x = 890,936 × 890,936
  4. Step 4: Simplify right side
    408,685x = 793,766,956,096
  5. Step 5: Solve for x
    x = 793,766,956,096/408,685
  6. Step 6: Final answer
    x = 1,942,246.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.