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Finding the Third Proportional to 189,828 and 274,950

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Solution

The third proportional to 189,828 and 274,950 is: 398,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828 : 274,950 = 274,950 : x
  2. Step 2: Convert to fraction form
    189,828/274,950 = 274,950/x
  3. Step 3: Cross multiply
    189,828x = 274,950 × 274,950
  4. Step 4: Simplify right side
    189,828x = 75,597,502,500
  5. Step 5: Solve for x
    x = 75,597,502,500/189,828
  6. Step 6: Final answer
    x = 398,242.11

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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.