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Finding the Third Proportional to 198,150 and 306,945

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Solution

The third proportional to 198,150 and 306,945 is: 475,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,150 : 306,945 = 306,945 : x
  2. Step 2: Convert to fraction form
    198,150/306,945 = 306,945/x
  3. Step 3: Cross multiply
    198,150x = 306,945 × 306,945
  4. Step 4: Simplify right side
    198,150x = 94,215,233,025
  5. Step 5: Solve for x
    x = 94,215,233,025/198,150
  6. Step 6: Final answer
    x = 475,474.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.