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Finding the Third Proportional to 133,367 and 199,579

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Solution

The third proportional to 133,367 and 199,579 is: 298,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,367 : 199,579 = 199,579 : x
  2. Step 2: Convert to fraction form
    133,367/199,579 = 199,579/x
  3. Step 3: Cross multiply
    133,367x = 199,579 × 199,579
  4. Step 4: Simplify right side
    133,367x = 39,831,777,241
  5. Step 5: Solve for x
    x = 39,831,777,241/133,367
  6. Step 6: Final answer
    x = 298,662.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.