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Finding the Third Proportional to 133,238 and 199,447

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Solution

The third proportional to 133,238 and 199,447 is: 298,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,238 : 199,447 = 199,447 : x
  2. Step 2: Convert to fraction form
    133,238/199,447 = 199,447/x
  3. Step 3: Cross multiply
    133,238x = 199,447 × 199,447
  4. Step 4: Simplify right side
    133,238x = 39,779,105,809
  5. Step 5: Solve for x
    x = 39,779,105,809/133,238
  6. Step 6: Final answer
    x = 298,556.76

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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.