Finding the Third Proportional to 106,821 and 166,059
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Solution
The third proportional to 106,821 and 166,059 is: 258,147.66
Step by Step Solution
- Step 1: Write the proportion equation
106,821 : 166,059 = 166,059 : x - Step 2: Convert to fraction form
106,821/166,059 = 166,059/x - Step 3: Cross multiply
106,821x = 166,059 × 166,059 - Step 4: Simplify right side
106,821x = 27,575,591,481 - Step 5: Solve for x
x = 27,575,591,481/106,821 - Step 6: Final answer
x = 258,147.66
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.