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Finding the Third Proportional to 189,708 and 274,770

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Solution

The third proportional to 189,708 and 274,770 is: 397,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,708 : 274,770 = 274,770 : x
  2. Step 2: Convert to fraction form
    189,708/274,770 = 274,770/x
  3. Step 3: Cross multiply
    189,708x = 274,770 × 274,770
  4. Step 4: Simplify right side
    189,708x = 75,498,552,900
  5. Step 5: Solve for x
    x = 75,498,552,900/189,708
  6. Step 6: Final answer
    x = 397,972.43

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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.