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Finding the Third Proportional to 150,228 and 319,608

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Solution

The third proportional to 150,228 and 319,608 is: 679,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,228 : 319,608 = 319,608 : x
  2. Step 2: Convert to fraction form
    150,228/319,608 = 319,608/x
  3. Step 3: Cross multiply
    150,228x = 319,608 × 319,608
  4. Step 4: Simplify right side
    150,228x = 102,149,273,664
  5. Step 5: Solve for x
    x = 102,149,273,664/150,228
  6. Step 6: Final answer
    x = 679,961.62

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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.