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Finding the Third Proportional to 150,957 and 319,895

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Solution

The third proportional to 150,957 and 319,895 is: 677,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,957 : 319,895 = 319,895 : x
  2. Step 2: Convert to fraction form
    150,957/319,895 = 319,895/x
  3. Step 3: Cross multiply
    150,957x = 319,895 × 319,895
  4. Step 4: Simplify right side
    150,957x = 102,332,811,025
  5. Step 5: Solve for x
    x = 102,332,811,025/150,957
  6. Step 6: Final answer
    x = 677,893.78

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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.