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Finding the Third Proportional to 392,997.25 and 800,445.75

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Solution

The third proportional to 392,997.25 and 800,445.75 is: 1,630,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,997.25 : 800,445.75 = 800,445.75 : x
  2. Step 2: Convert to fraction form
    392,997.25/800,445.75 = 800,445.75/x
  3. Step 3: Cross multiply
    392,997.25x = 800,445.75 × 800,445.75
  4. Step 4: Simplify right side
    392,997.25x = 640,713,398,693.06
  5. Step 5: Solve for x
    x = 640,713,398,693.06/392,997.25
  6. Step 6: Final answer
    x = 1,630,325.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.