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Finding the Third Proportional to 120,912 and 199,812

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Solution

The third proportional to 120,912 and 199,812 is: 330,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912 : 199,812 = 199,812 : x
  2. Step 2: Convert to fraction form
    120,912/199,812 = 199,812/x
  3. Step 3: Cross multiply
    120,912x = 199,812 × 199,812
  4. Step 4: Simplify right side
    120,912x = 39,924,835,344
  5. Step 5: Solve for x
    x = 39,924,835,344/120,912
  6. Step 6: Final answer
    x = 330,197.46

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.