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Finding the Third Proportional to 197,880 and 276,802

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Solution

The third proportional to 197,880 and 276,802 is: 387,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,880 : 276,802 = 276,802 : x
  2. Step 2: Convert to fraction form
    197,880/276,802 = 276,802/x
  3. Step 3: Cross multiply
    197,880x = 276,802 × 276,802
  4. Step 4: Simplify right side
    197,880x = 76,619,347,204
  5. Step 5: Solve for x
    x = 76,619,347,204/197,880
  6. Step 6: Final answer
    x = 387,201.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.