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Finding the Third Proportional to 189,836 and 274,962

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Solution

The third proportional to 189,836 and 274,962 is: 398,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,836 : 274,962 = 274,962 : x
  2. Step 2: Convert to fraction form
    189,836/274,962 = 274,962/x
  3. Step 3: Cross multiply
    189,836x = 274,962 × 274,962
  4. Step 4: Simplify right side
    189,836x = 75,604,101,444
  5. Step 5: Solve for x
    x = 75,604,101,444/189,836
  6. Step 6: Final answer
    x = 398,260.08

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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.