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Finding the Third Proportional to 197,980 and 440,132

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Solution

The third proportional to 197,980 and 440,132 is: 978,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,980 : 440,132 = 440,132 : x
  2. Step 2: Convert to fraction form
    197,980/440,132 = 440,132/x
  3. Step 3: Cross multiply
    197,980x = 440,132 × 440,132
  4. Step 4: Simplify right side
    197,980x = 193,716,177,424
  5. Step 5: Solve for x
    x = 193,716,177,424/197,980
  6. Step 6: Final answer
    x = 978,463.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.