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Finding the Third Proportional to 421,362 and 892,296

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Solution

The third proportional to 421,362 and 892,296 is: 1,889,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,362 : 892,296 = 892,296 : x
  2. Step 2: Convert to fraction form
    421,362/892,296 = 892,296/x
  3. Step 3: Cross multiply
    421,362x = 892,296 × 892,296
  4. Step 4: Simplify right side
    421,362x = 796,192,151,616
  5. Step 5: Solve for x
    x = 796,192,151,616/421,362
  6. Step 6: Final answer
    x = 1,889,568

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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.