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Finding the Third Proportional to 203,622 and 311,481

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Solution

The third proportional to 203,622 and 311,481 is: 476,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,622 : 311,481 = 311,481 : x
  2. Step 2: Convert to fraction form
    203,622/311,481 = 311,481/x
  3. Step 3: Cross multiply
    203,622x = 311,481 × 311,481
  4. Step 4: Simplify right side
    203,622x = 97,020,413,361
  5. Step 5: Solve for x
    x = 97,020,413,361/203,622
  6. Step 6: Final answer
    x = 476,473.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.