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Finding the Third Proportional to 71,611 and 149,104

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Solution

The third proportional to 71,611 and 149,104 is: 310,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,611 : 149,104 = 149,104 : x
  2. Step 2: Convert to fraction form
    71,611/149,104 = 149,104/x
  3. Step 3: Cross multiply
    71,611x = 149,104 × 149,104
  4. Step 4: Simplify right side
    71,611x = 22,232,002,816
  5. Step 5: Solve for x
    x = 22,232,002,816/71,611
  6. Step 6: Final answer
    x = 310,455.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.