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Finding the Third Proportional to 200,857 and 311,001

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Solution

The third proportional to 200,857 and 311,001 is: 481,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857 : 311,001 = 311,001 : x
  2. Step 2: Convert to fraction form
    200,857/311,001 = 311,001/x
  3. Step 3: Cross multiply
    200,857x = 311,001 × 311,001
  4. Step 4: Simplify right side
    200,857x = 96,721,622,001
  5. Step 5: Solve for x
    x = 96,721,622,001/200,857
  6. Step 6: Final answer
    x = 481,544.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.