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Finding the Third Proportional to 199,401.75 and 421,321.50

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Solution

The third proportional to 199,401.75 and 421,321.50 is: 890,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,401.75 : 421,321.50 = 421,321.50 : x
  2. Step 2: Convert to fraction form
    199,401.75/421,321.50 = 421,321.50/x
  3. Step 3: Cross multiply
    199,401.75x = 421,321.50 × 421,321.50
  4. Step 4: Simplify right side
    199,401.75x = 177,511,806,362.25
  5. Step 5: Solve for x
    x = 177,511,806,362.25/199,401.75
  6. Step 6: Final answer
    x = 890,221.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.