Finding the Third Proportional to 142 and 174
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Solution
The third proportional to 142 and 174 is: 213.21
Step by Step Solution
- Step 1: Write the proportion equation
142 : 174 = 174 : x - Step 2: Convert to fraction form
142/174 = 174/x - Step 3: Cross multiply
142x = 174 × 174 - Step 4: Simplify right side
142x = 30,276 - Step 5: Solve for x
x = 30,276/142 - Step 6: Final answer
x = 213.21
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Why These Related Problems?
These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.