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Finding the Third Proportional to 196,662.94 and 421,999.88

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Solution

The third proportional to 196,662.94 and 421,999.88 is: 905,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,662.94 : 421,999.88 = 421,999.88 : x
  2. Step 2: Convert to fraction form
    196,662.94/421,999.88 = 421,999.88/x
  3. Step 3: Cross multiply
    196,662.94x = 421,999.88 × 421,999.88
  4. Step 4: Simplify right side
    196,662.94x = 178,083,894,500.02
  5. Step 5: Solve for x
    x = 178,083,894,500.02/196,662.94
  6. Step 6: Final answer
    x = 905,528.50

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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.