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Finding the Third Proportional to 137,912 and 204,274

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Solution

The third proportional to 137,912 and 204,274 is: 302,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,912 : 204,274 = 204,274 : x
  2. Step 2: Convert to fraction form
    137,912/204,274 = 204,274/x
  3. Step 3: Cross multiply
    137,912x = 204,274 × 204,274
  4. Step 4: Simplify right side
    137,912x = 41,727,867,076
  5. Step 5: Solve for x
    x = 41,727,867,076/137,912
  6. Step 6: Final answer
    x = 302,568.79

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