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Finding the Third Proportional to 137,692 and 203,981

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Solution

The third proportional to 137,692 and 203,981 is: 302,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,692 : 203,981 = 203,981 : x
  2. Step 2: Convert to fraction form
    137,692/203,981 = 203,981/x
  3. Step 3: Cross multiply
    137,692x = 203,981 × 203,981
  4. Step 4: Simplify right side
    137,692x = 41,608,248,361
  5. Step 5: Solve for x
    x = 41,608,248,361/137,692
  6. Step 6: Final answer
    x = 302,183.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.