Finding the Third Proportional to 65 and 162
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Solution
The third proportional to 65 and 162 is: 403.75
Step by Step Solution
- Step 1: Write the proportion equation
65 : 162 = 162 : x - Step 2: Convert to fraction form
65/162 = 162/x - Step 3: Cross multiply
65x = 162 × 162 - Step 4: Simplify right side
65x = 26,244 - Step 5: Solve for x
x = 26,244/65 - Step 6: Final answer
x = 403.75
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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.