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Finding the Third Proportional to 149,899 and 319,218

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Solution

The third proportional to 149,899 and 319,218 is: 679,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,899 : 319,218 = 319,218 : x
  2. Step 2: Convert to fraction form
    149,899/319,218 = 319,218/x
  3. Step 3: Cross multiply
    149,899x = 319,218 × 319,218
  4. Step 4: Simplify right side
    149,899x = 101,900,131,524
  5. Step 5: Solve for x
    x = 101,900,131,524/149,899
  6. Step 6: Final answer
    x = 679,791.94

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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.