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Finding the Third Proportional to 421,398 and 892,356

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Solution

The third proportional to 421,398 and 892,356 is: 1,889,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,398 : 892,356 = 892,356 : x
  2. Step 2: Convert to fraction form
    421,398/892,356 = 892,356/x
  3. Step 3: Cross multiply
    421,398x = 892,356 × 892,356
  4. Step 4: Simplify right side
    421,398x = 796,299,230,736
  5. Step 5: Solve for x
    x = 796,299,230,736/421,398
  6. Step 6: Final answer
    x = 1,889,660.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.