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Finding the Third Proportional to 140,019 and 211,041

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Solution

The third proportional to 140,019 and 211,041 is: 318,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,019 : 211,041 = 211,041 : x
  2. Step 2: Convert to fraction form
    140,019/211,041 = 211,041/x
  3. Step 3: Cross multiply
    140,019x = 211,041 × 211,041
  4. Step 4: Simplify right side
    140,019x = 44,538,303,681
  5. Step 5: Solve for x
    x = 44,538,303,681/140,019
  6. Step 6: Final answer
    x = 318,087.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.