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Finding the Third Proportional to 133,049 and 199,048

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Solution

The third proportional to 133,049 and 199,048 is: 297,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,049 : 199,048 = 199,048 : x
  2. Step 2: Convert to fraction form
    133,049/199,048 = 199,048/x
  3. Step 3: Cross multiply
    133,049x = 199,048 × 199,048
  4. Step 4: Simplify right side
    133,049x = 39,620,106,304
  5. Step 5: Solve for x
    x = 39,620,106,304/133,049
  6. Step 6: Final answer
    x = 297,785.83

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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.