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Finding the Third Proportional to 421,396 and 892,352

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Solution

The third proportional to 421,396 and 892,352 is: 1,889,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,396 : 892,352 = 892,352 : x
  2. Step 2: Convert to fraction form
    421,396/892,352 = 892,352/x
  3. Step 3: Cross multiply
    421,396x = 892,352 × 892,352
  4. Step 4: Simplify right side
    421,396x = 796,292,091,904
  5. Step 5: Solve for x
    x = 796,292,091,904/421,396
  6. Step 6: Final answer
    x = 1,889,652.71

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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.