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Finding the Third Proportional to 409,319.26 and 890,194.43

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Solution

The third proportional to 409,319.26 and 890,194.43 is: 1,936,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,319.26 : 890,194.43 = 890,194.43 : x
  2. Step 2: Convert to fraction form
    409,319.26/890,194.43 = 890,194.43/x
  3. Step 3: Cross multiply
    409,319.26x = 890,194.43 × 890,194.43
  4. Step 4: Simplify right side
    409,319.26x = 792,446,122,646.65
  5. Step 5: Solve for x
    x = 792,446,122,646.65/409,319.26
  6. Step 6: Final answer
    x = 1,936,009.85

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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.