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Finding the Third Proportional to 90,450 and 198,945

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Solution

The third proportional to 90,450 and 198,945 is: 437,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,450 : 198,945 = 198,945 : x
  2. Step 2: Convert to fraction form
    90,450/198,945 = 198,945/x
  3. Step 3: Cross multiply
    90,450x = 198,945 × 198,945
  4. Step 4: Simplify right side
    90,450x = 39,579,113,025
  5. Step 5: Solve for x
    x = 39,579,113,025/90,450
  6. Step 6: Final answer
    x = 437,580.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.