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Finding the Third Proportional to 200,622 and 311,645

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Solution

The third proportional to 200,622 and 311,645 is: 484,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622 : 311,645 = 311,645 : x
  2. Step 2: Convert to fraction form
    200,622/311,645 = 311,645/x
  3. Step 3: Cross multiply
    200,622x = 311,645 × 311,645
  4. Step 4: Simplify right side
    200,622x = 97,122,606,025
  5. Step 5: Solve for x
    x = 97,122,606,025/200,622
  6. Step 6: Final answer
    x = 484,107.46

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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.