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Finding the Third Proportional to 72,771 and 100,206.75

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Solution

The third proportional to 72,771 and 100,206.75 is: 137,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,771 : 100,206.75 = 100,206.75 : x
  2. Step 2: Convert to fraction form
    72,771/100,206.75 = 100,206.75/x
  3. Step 3: Cross multiply
    72,771x = 100,206.75 × 100,206.75
  4. Step 4: Simplify right side
    72,771x = 10,041,392,745.56
  5. Step 5: Solve for x
    x = 10,041,392,745.56/72,771
  6. Step 6: Final answer
    x = 137,986.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.