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Finding the Third Proportional to 200,800 and 311,091

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Solution

The third proportional to 200,800 and 311,091 is: 481,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,800 : 311,091 = 311,091 : x
  2. Step 2: Convert to fraction form
    200,800/311,091 = 311,091/x
  3. Step 3: Cross multiply
    200,800x = 311,091 × 311,091
  4. Step 4: Simplify right side
    200,800x = 96,777,610,281
  5. Step 5: Solve for x
    x = 96,777,610,281/200,800
  6. Step 6: Final answer
    x = 481,960.21

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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.