Finding the Third Proportional to 105 and 185
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Solution
The third proportional to 105 and 185 is: 325.95
Step by Step Solution
- Step 1: Write the proportion equation
105 : 185 = 185 : x - Step 2: Convert to fraction form
105/185 = 185/x - Step 3: Cross multiply
105x = 185 × 185 - Step 4: Simplify right side
105x = 34,225 - Step 5: Solve for x
x = 34,225/105 - Step 6: Final answer
x = 325.95
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Why These Related Problems?
These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.