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Finding the Third Proportional to 202,228 and 440,129

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Solution

The third proportional to 202,228 and 440,129 is: 957,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,228 : 440,129 = 440,129 : x
  2. Step 2: Convert to fraction form
    202,228/440,129 = 440,129/x
  3. Step 3: Cross multiply
    202,228x = 440,129 × 440,129
  4. Step 4: Simplify right side
    202,228x = 193,713,536,641
  5. Step 5: Solve for x
    x = 193,713,536,641/202,228
  6. Step 6: Final answer
    x = 957,896.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.