Finding the Third Proportional to 171 and 221.50
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Solution
The third proportional to 171 and 221.50 is: 286.91
Step by Step Solution
- Step 1: Write the proportion equation
171 : 221.50 = 221.50 : x - Step 2: Convert to fraction form
171/221.50 = 221.50/x - Step 3: Cross multiply
171x = 221.50 × 221.50 - Step 4: Simplify right side
171x = 49,062.25 - Step 5: Solve for x
x = 49,062.25/171 - Step 6: Final answer
x = 286.91
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.