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Finding the Third Proportional to 150,269 and 317,305

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Solution

The third proportional to 150,269 and 317,305 is: 670,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,269 : 317,305 = 317,305 : x
  2. Step 2: Convert to fraction form
    150,269/317,305 = 317,305/x
  3. Step 3: Cross multiply
    150,269x = 317,305 × 317,305
  4. Step 4: Simplify right side
    150,269x = 100,682,463,025
  5. Step 5: Solve for x
    x = 100,682,463,025/150,269
  6. Step 6: Final answer
    x = 670,014.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.