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Finding the Third Proportional to 150,906 and 319,801

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Solution

The third proportional to 150,906 and 319,801 is: 677,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,906 : 319,801 = 319,801 : x
  2. Step 2: Convert to fraction form
    150,906/319,801 = 319,801/x
  3. Step 3: Cross multiply
    150,906x = 319,801 × 319,801
  4. Step 4: Simplify right side
    150,906x = 102,272,679,601
  5. Step 5: Solve for x
    x = 102,272,679,601/150,906
  6. Step 6: Final answer
    x = 677,724.41

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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.