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Finding the Third Proportional to 45,400 and 67,759

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Solution

The third proportional to 45,400 and 67,759 is: 101,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,400 : 67,759 = 67,759 : x
  2. Step 2: Convert to fraction form
    45,400/67,759 = 67,759/x
  3. Step 3: Cross multiply
    45,400x = 67,759 × 67,759
  4. Step 4: Simplify right side
    45,400x = 4,591,282,081
  5. Step 5: Solve for x
    x = 4,591,282,081/45,400
  6. Step 6: Final answer
    x = 101,129.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.