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Finding the Third Proportional to 133,240 and 199,450

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Solution

The third proportional to 133,240 and 199,450 is: 298,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,240 : 199,450 = 199,450 : x
  2. Step 2: Convert to fraction form
    133,240/199,450 = 199,450/x
  3. Step 3: Cross multiply
    133,240x = 199,450 × 199,450
  4. Step 4: Simplify right side
    133,240x = 39,780,302,500
  5. Step 5: Solve for x
    x = 39,780,302,500/133,240
  6. Step 6: Final answer
    x = 298,561.26

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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.