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Finding the Third Proportional to 323,192 and 687,856

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Solution

The third proportional to 323,192 and 687,856 is: 1,463,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,192 : 687,856 = 687,856 : x
  2. Step 2: Convert to fraction form
    323,192/687,856 = 687,856/x
  3. Step 3: Cross multiply
    323,192x = 687,856 × 687,856
  4. Step 4: Simplify right side
    323,192x = 473,145,876,736
  5. Step 5: Solve for x
    x = 473,145,876,736/323,192
  6. Step 6: Final answer
    x = 1,463,977.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.