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Finding the Third Proportional to 133,221 and 199,426

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Solution

The third proportional to 133,221 and 199,426 is: 298,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,221 : 199,426 = 199,426 : x
  2. Step 2: Convert to fraction form
    133,221/199,426 = 199,426/x
  3. Step 3: Cross multiply
    133,221x = 199,426 × 199,426
  4. Step 4: Simplify right side
    133,221x = 39,770,729,476
  5. Step 5: Solve for x
    x = 39,770,729,476/133,221
  6. Step 6: Final answer
    x = 298,531.98

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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.