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Finding the Third Proportional to 70,121 and 150,205

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Solution

The third proportional to 70,121 and 150,205 is: 321,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,121 : 150,205 = 150,205 : x
  2. Step 2: Convert to fraction form
    70,121/150,205 = 150,205/x
  3. Step 3: Cross multiply
    70,121x = 150,205 × 150,205
  4. Step 4: Simplify right side
    70,121x = 22,561,542,025
  5. Step 5: Solve for x
    x = 22,561,542,025/70,121
  6. Step 6: Final answer
    x = 321,751.57

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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.