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Finding the Third Proportional to 189,844 and 274,974

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Solution

The third proportional to 189,844 and 274,974 is: 398,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,844 : 274,974 = 274,974 : x
  2. Step 2: Convert to fraction form
    189,844/274,974 = 274,974/x
  3. Step 3: Cross multiply
    189,844x = 274,974 × 274,974
  4. Step 4: Simplify right side
    189,844x = 75,610,700,676
  5. Step 5: Solve for x
    x = 75,610,700,676/189,844
  6. Step 6: Final answer
    x = 398,278.06

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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.