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Finding the Third Proportional to 72,619.88 and 149,249.25

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Solution

The third proportional to 72,619.88 and 149,249.25 is: 306,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,619.88 : 149,249.25 = 149,249.25 : x
  2. Step 2: Convert to fraction form
    72,619.88/149,249.25 = 149,249.25/x
  3. Step 3: Cross multiply
    72,619.88x = 149,249.25 × 149,249.25
  4. Step 4: Simplify right side
    72,619.88x = 22,275,338,625.56
  5. Step 5: Solve for x
    x = 22,275,338,625.56/72,619.88
  6. Step 6: Final answer
    x = 306,738.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.