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Finding the Third Proportional to 282,022 and 440,183

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Solution

The third proportional to 282,022 and 440,183 is: 687,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,022 : 440,183 = 440,183 : x
  2. Step 2: Convert to fraction form
    282,022/440,183 = 440,183/x
  3. Step 3: Cross multiply
    282,022x = 440,183 × 440,183
  4. Step 4: Simplify right side
    282,022x = 193,761,073,489
  5. Step 5: Solve for x
    x = 193,761,073,489/282,022
  6. Step 6: Final answer
    x = 687,042.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.