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Finding the Third Proportional to 200,921 and 311,449

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Solution

The third proportional to 200,921 and 311,449 is: 482,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,921 : 311,449 = 311,449 : x
  2. Step 2: Convert to fraction form
    200,921/311,449 = 311,449/x
  3. Step 3: Cross multiply
    200,921x = 311,449 × 311,449
  4. Step 4: Simplify right side
    200,921x = 97,000,479,601
  5. Step 5: Solve for x
    x = 97,000,479,601/200,921
  6. Step 6: Final answer
    x = 482,779.20

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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.