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Finding the Third Proportional to 192,138 and 306,945

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Solution

The third proportional to 192,138 and 306,945 is: 490,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,138 : 306,945 = 306,945 : x
  2. Step 2: Convert to fraction form
    192,138/306,945 = 306,945/x
  3. Step 3: Cross multiply
    192,138x = 306,945 × 306,945
  4. Step 4: Simplify right side
    192,138x = 94,215,233,025
  5. Step 5: Solve for x
    x = 94,215,233,025/192,138
  6. Step 6: Final answer
    x = 490,351.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.