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Finding the Third Proportional to 70,161 and 150,285

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Solution

The third proportional to 70,161 and 150,285 is: 321,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161 : 150,285 = 150,285 : x
  2. Step 2: Convert to fraction form
    70,161/150,285 = 150,285/x
  3. Step 3: Cross multiply
    70,161x = 150,285 × 150,285
  4. Step 4: Simplify right side
    70,161x = 22,585,581,225
  5. Step 5: Solve for x
    x = 22,585,581,225/70,161
  6. Step 6: Final answer
    x = 321,910.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.