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Finding the Third Proportional to 149,138 and 225,879

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Solution

The third proportional to 149,138 and 225,879 is: 342,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,138 : 225,879 = 225,879 : x
  2. Step 2: Convert to fraction form
    149,138/225,879 = 225,879/x
  3. Step 3: Cross multiply
    149,138x = 225,879 × 225,879
  4. Step 4: Simplify right side
    149,138x = 51,021,322,641
  5. Step 5: Solve for x
    x = 51,021,322,641/149,138
  6. Step 6: Final answer
    x = 342,108.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.