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Finding the Third Proportional to 189,838 and 274,965

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Solution

The third proportional to 189,838 and 274,965 is: 398,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,838 : 274,965 = 274,965 : x
  2. Step 2: Convert to fraction form
    189,838/274,965 = 274,965/x
  3. Step 3: Cross multiply
    189,838x = 274,965 × 274,965
  4. Step 4: Simplify right side
    189,838x = 75,605,751,225
  5. Step 5: Solve for x
    x = 75,605,751,225/189,838
  6. Step 6: Final answer
    x = 398,264.58

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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.