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Finding the Third Proportional to 30,812 and 71,891

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Solution

The third proportional to 30,812 and 71,891 is: 167,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812 : 71,891 = 71,891 : x
  2. Step 2: Convert to fraction form
    30,812/71,891 = 71,891/x
  3. Step 3: Cross multiply
    30,812x = 71,891 × 71,891
  4. Step 4: Simplify right side
    30,812x = 5,168,315,881
  5. Step 5: Solve for x
    x = 5,168,315,881/30,812
  6. Step 6: Final answer
    x = 167,737.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.