Finding the Third Proportional to 142 and 161.50
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Solution
The third proportional to 142 and 161.50 is: 183.68
Step by Step Solution
- Step 1: Write the proportion equation
142 : 161.50 = 161.50 : x - Step 2: Convert to fraction form
142/161.50 = 161.50/x - Step 3: Cross multiply
142x = 161.50 × 161.50 - Step 4: Simplify right side
142x = 26,082.25 - Step 5: Solve for x
x = 26,082.25/142 - Step 6: Final answer
x = 183.68
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.