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Finding the Third Proportional to 413,509 and 890,375

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Solution

The third proportional to 413,509 and 890,375 is: 1,917,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,509 : 890,375 = 890,375 : x
  2. Step 2: Convert to fraction form
    413,509/890,375 = 890,375/x
  3. Step 3: Cross multiply
    413,509x = 890,375 × 890,375
  4. Step 4: Simplify right side
    413,509x = 792,767,640,625
  5. Step 5: Solve for x
    x = 792,767,640,625/413,509
  6. Step 6: Final answer
    x = 1,917,171.43

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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.