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Finding the Third Proportional to 135,967 and 319,990

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Solution

The third proportional to 135,967 and 319,990 is: 753,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,967 : 319,990 = 319,990 : x
  2. Step 2: Convert to fraction form
    135,967/319,990 = 319,990/x
  3. Step 3: Cross multiply
    135,967x = 319,990 × 319,990
  4. Step 4: Simplify right side
    135,967x = 102,393,600,100
  5. Step 5: Solve for x
    x = 102,393,600,100/135,967
  6. Step 6: Final answer
    x = 753,076.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.