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Finding the Third Proportional to 198,450 and 428,004

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Solution

The third proportional to 198,450 and 428,004 is: 923,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,450 : 428,004 = 428,004 : x
  2. Step 2: Convert to fraction form
    198,450/428,004 = 428,004/x
  3. Step 3: Cross multiply
    198,450x = 428,004 × 428,004
  4. Step 4: Simplify right side
    198,450x = 183,187,424,016
  5. Step 5: Solve for x
    x = 183,187,424,016/198,450
  6. Step 6: Final answer
    x = 923,091.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.