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Finding the Third Proportional to 189,826 and 274,947

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Solution

The third proportional to 189,826 and 274,947 is: 398,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,826 : 274,947 = 274,947 : x
  2. Step 2: Convert to fraction form
    189,826/274,947 = 274,947/x
  3. Step 3: Cross multiply
    189,826x = 274,947 × 274,947
  4. Step 4: Simplify right side
    189,826x = 75,595,852,809
  5. Step 5: Solve for x
    x = 75,595,852,809/189,826
  6. Step 6: Final answer
    x = 398,237.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.