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Finding the Third Proportional to 200,846 and 311,187

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Solution

The third proportional to 200,846 and 311,187 is: 482,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,846 : 311,187 = 311,187 : x
  2. Step 2: Convert to fraction form
    200,846/311,187 = 311,187/x
  3. Step 3: Cross multiply
    200,846x = 311,187 × 311,187
  4. Step 4: Simplify right side
    200,846x = 96,837,348,969
  5. Step 5: Solve for x
    x = 96,837,348,969/200,846
  6. Step 6: Final answer
    x = 482,147.26

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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.