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Finding the Third Proportional to 133,087 and 199,631

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Solution

The third proportional to 133,087 and 199,631 is: 299,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,087 : 199,631 = 199,631 : x
  2. Step 2: Convert to fraction form
    133,087/199,631 = 199,631/x
  3. Step 3: Cross multiply
    133,087x = 199,631 × 199,631
  4. Step 4: Simplify right side
    133,087x = 39,852,536,161
  5. Step 5: Solve for x
    x = 39,852,536,161/133,087
  6. Step 6: Final answer
    x = 299,447.25

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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.