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Finding the Third Proportional to 408,975 and 892,308

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Solution

The third proportional to 408,975 and 892,308 is: 1,946,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,975 : 892,308 = 892,308 : x
  2. Step 2: Convert to fraction form
    408,975/892,308 = 892,308/x
  3. Step 3: Cross multiply
    408,975x = 892,308 × 892,308
  4. Step 4: Simplify right side
    408,975x = 796,213,566,864
  5. Step 5: Solve for x
    x = 796,213,566,864/408,975
  6. Step 6: Final answer
    x = 1,946,851.44

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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.