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Finding the Third Proportional to 189,716 and 274,780

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Solution

The third proportional to 189,716 and 274,780 is: 397,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,716 : 274,780 = 274,780 : x
  2. Step 2: Convert to fraction form
    189,716/274,780 = 274,780/x
  3. Step 3: Cross multiply
    189,716x = 274,780 × 274,780
  4. Step 4: Simplify right side
    189,716x = 75,504,048,400
  5. Step 5: Solve for x
    x = 75,504,048,400/189,716
  6. Step 6: Final answer
    x = 397,984.61

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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.