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Finding the Third Proportional to 230,279 and 350,990

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Solution

The third proportional to 230,279 and 350,990 is: 534,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,279 : 350,990 = 350,990 : x
  2. Step 2: Convert to fraction form
    230,279/350,990 = 350,990/x
  3. Step 3: Cross multiply
    230,279x = 350,990 × 350,990
  4. Step 4: Simplify right side
    230,279x = 123,193,980,100
  5. Step 5: Solve for x
    x = 123,193,980,100/230,279
  6. Step 6: Final answer
    x = 534,977.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.