Finding the Third Proportional to 83,576.25 and 122,163.75
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Solution
The third proportional to 83,576.25 and 122,163.75 is: 178,567.26
Step by Step Solution
- Step 1: Write the proportion equation
83,576.25 : 122,163.75 = 122,163.75 : x - Step 2: Convert to fraction form
83,576.25/122,163.75 = 122,163.75/x - Step 3: Cross multiply
83,576.25x = 122,163.75 × 122,163.75 - Step 4: Simplify right side
83,576.25x = 14,923,981,814.06 - Step 5: Solve for x
x = 14,923,981,814.06/83,576.25 - Step 6: Final answer
x = 178,567.26
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.