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Finding the Third Proportional to 200,842 and 311,181

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Solution

The third proportional to 200,842 and 311,181 is: 482,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842 : 311,181 = 311,181 : x
  2. Step 2: Convert to fraction form
    200,842/311,181 = 311,181/x
  3. Step 3: Cross multiply
    200,842x = 311,181 × 311,181
  4. Step 4: Simplify right side
    200,842x = 96,833,614,761
  5. Step 5: Solve for x
    x = 96,833,614,761/200,842
  6. Step 6: Final answer
    x = 482,138.27

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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.