Finding the Third Proportional to 113 and 142
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Solution
The third proportional to 113 and 142 is: 178.44
Step by Step Solution
- Step 1: Write the proportion equation
113 : 142 = 142 : x - Step 2: Convert to fraction form
113/142 = 142/x - Step 3: Cross multiply
113x = 142 × 142 - Step 4: Simplify right side
113x = 20,164 - Step 5: Solve for x
x = 20,164/113 - Step 6: Final answer
x = 178.44
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.