Finding the Third Proportional to 102 and 122
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Solution
The third proportional to 102 and 122 is: 145.92
Step by Step Solution
- Step 1: Write the proportion equation
102 : 122 = 122 : x - Step 2: Convert to fraction form
102/122 = 122/x - Step 3: Cross multiply
102x = 122 × 122 - Step 4: Simplify right side
102x = 14,884 - Step 5: Solve for x
x = 14,884/102 - Step 6: Final answer
x = 145.92
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.