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Finding the Third Proportional to 200,808 and 311,100

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Solution

The third proportional to 200,808 and 311,100 is: 481,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,808 : 311,100 = 311,100 : x
  2. Step 2: Convert to fraction form
    200,808/311,100 = 311,100/x
  3. Step 3: Cross multiply
    200,808x = 311,100 × 311,100
  4. Step 4: Simplify right side
    200,808x = 96,783,210,000
  5. Step 5: Solve for x
    x = 96,783,210,000/200,808
  6. Step 6: Final answer
    x = 481,968.90

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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.