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Finding the Third Proportional to 421,394 and 892,348

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Solution

The third proportional to 421,394 and 892,348 is: 1,889,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,394 : 892,348 = 892,348 : x
  2. Step 2: Convert to fraction form
    421,394/892,348 = 892,348/x
  3. Step 3: Cross multiply
    421,394x = 892,348 × 892,348
  4. Step 4: Simplify right side
    421,394x = 796,284,953,104
  5. Step 5: Solve for x
    x = 796,284,953,104/421,394
  6. Step 6: Final answer
    x = 1,889,644.73

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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.