Finding the Third Proportional to 20,778.75 and 31,163.63
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Solution
The third proportional to 20,778.75 and 31,163.63 is: 46,738.69
Step by Step Solution
- Step 1: Write the proportion equation
20,778.75 : 31,163.63 = 31,163.63 : x - Step 2: Convert to fraction form
20,778.75/31,163.63 = 31,163.63/x - Step 3: Cross multiply
20,778.75x = 31,163.63 × 31,163.63 - Step 4: Simplify right side
20,778.75x = 971,171,523.14 - Step 5: Solve for x
x = 971,171,523.14/20,778.75 - Step 6: Final answer
x = 46,738.69
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.