Finding the Third Proportional to 122 and 202
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Solution
The third proportional to 122 and 202 is: 334.46
Step by Step Solution
- Step 1: Write the proportion equation
122 : 202 = 202 : x - Step 2: Convert to fraction form
122/202 = 202/x - Step 3: Cross multiply
122x = 202 × 202 - Step 4: Simplify right side
122x = 40,804 - Step 5: Solve for x
x = 40,804/122 - Step 6: Final answer
x = 334.46
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Why These Related Problems?
These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.