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Finding the Third Proportional to 131,698 and 203,979

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Solution

The third proportional to 131,698 and 203,979 is: 315,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,698 : 203,979 = 203,979 : x
  2. Step 2: Convert to fraction form
    131,698/203,979 = 203,979/x
  3. Step 3: Cross multiply
    131,698x = 203,979 × 203,979
  4. Step 4: Simplify right side
    131,698x = 41,607,432,441
  5. Step 5: Solve for x
    x = 41,607,432,441/131,698
  6. Step 6: Final answer
    x = 315,930.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.