Finding the Third Proportional to 76,210 and 166,949
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Solution
The third proportional to 76,210 and 166,949 is: 365,725.87
Step by Step Solution
- Step 1: Write the proportion equation
76,210 : 166,949 = 166,949 : x - Step 2: Convert to fraction form
76,210/166,949 = 166,949/x - Step 3: Cross multiply
76,210x = 166,949 × 166,949 - Step 4: Simplify right side
76,210x = 27,871,968,601 - Step 5: Solve for x
x = 27,871,968,601/76,210 - Step 6: Final answer
x = 365,725.87
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.