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Finding the Third Proportional to 408,717 and 890,995

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Solution

The third proportional to 408,717 and 890,995 is: 1,942,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,717 : 890,995 = 890,995 : x
  2. Step 2: Convert to fraction form
    408,717/890,995 = 890,995/x
  3. Step 3: Cross multiply
    408,717x = 890,995 × 890,995
  4. Step 4: Simplify right side
    408,717x = 793,872,090,025
  5. Step 5: Solve for x
    x = 793,872,090,025/408,717
  6. Step 6: Final answer
    x = 1,942,351.53

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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.