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Finding the Third Proportional to 138,062 and 205,149

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Solution

The third proportional to 138,062 and 205,149 is: 304,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,062 : 205,149 = 205,149 : x
  2. Step 2: Convert to fraction form
    138,062/205,149 = 205,149/x
  3. Step 3: Cross multiply
    138,062x = 205,149 × 205,149
  4. Step 4: Simplify right side
    138,062x = 42,086,112,201
  5. Step 5: Solve for x
    x = 42,086,112,201/138,062
  6. Step 6: Final answer
    x = 304,834.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.