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Finding the Third Proportional to 39,367 and 83,990

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Solution

The third proportional to 39,367 and 83,990 is: 179,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,367 : 83,990 = 83,990 : x
  2. Step 2: Convert to fraction form
    39,367/83,990 = 83,990/x
  3. Step 3: Cross multiply
    39,367x = 83,990 × 83,990
  4. Step 4: Simplify right side
    39,367x = 7,054,320,100
  5. Step 5: Solve for x
    x = 7,054,320,100/39,367
  6. Step 6: Final answer
    x = 179,193.74

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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.