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Finding the Third Proportional to 198,106.50 and 412,629

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Solution

The third proportional to 198,106.50 and 412,629 is: 859,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,106.50 : 412,629 = 412,629 : x
  2. Step 2: Convert to fraction form
    198,106.50/412,629 = 412,629/x
  3. Step 3: Cross multiply
    198,106.50x = 412,629 × 412,629
  4. Step 4: Simplify right side
    198,106.50x = 170,262,691,641
  5. Step 5: Solve for x
    x = 170,262,691,641/198,106.50
  6. Step 6: Final answer
    x = 859,450.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.