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Finding the Third Proportional to 421,392 and 892,344

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Solution

The third proportional to 421,392 and 892,344 is: 1,889,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,392 : 892,344 = 892,344 : x
  2. Step 2: Convert to fraction form
    421,392/892,344 = 892,344/x
  3. Step 3: Cross multiply
    421,392x = 892,344 × 892,344
  4. Step 4: Simplify right side
    421,392x = 796,277,814,336
  5. Step 5: Solve for x
    x = 796,277,814,336/421,392
  6. Step 6: Final answer
    x = 1,889,636.76

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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.