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Finding the Third Proportional to 196,438.50 and 421,551

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Solution

The third proportional to 196,438.50 and 421,551 is: 904,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438.50 : 421,551 = 421,551 : x
  2. Step 2: Convert to fraction form
    196,438.50/421,551 = 421,551/x
  3. Step 3: Cross multiply
    196,438.50x = 421,551 × 421,551
  4. Step 4: Simplify right side
    196,438.50x = 177,705,245,601
  5. Step 5: Solve for x
    x = 177,705,245,601/196,438.50
  6. Step 6: Final answer
    x = 904,635.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.