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Finding the Third Proportional to 30,211 and 71,081

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Solution

The third proportional to 30,211 and 71,081 is: 167,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211 : 71,081 = 71,081 : x
  2. Step 2: Convert to fraction form
    30,211/71,081 = 71,081/x
  3. Step 3: Cross multiply
    30,211x = 71,081 × 71,081
  4. Step 4: Simplify right side
    30,211x = 5,052,508,561
  5. Step 5: Solve for x
    x = 5,052,508,561/30,211
  6. Step 6: Final answer
    x = 167,240.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.