Finding the Third Proportional to 169 and 416
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Solution
The third proportional to 169 and 416 is: 1,024
Step by Step Solution
- Step 1: Write the proportion equation
169 : 416 = 416 : x - Step 2: Convert to fraction form
169/416 = 416/x - Step 3: Cross multiply
169x = 416 × 416 - Step 4: Simplify right side
169x = 173,056 - Step 5: Solve for x
x = 173,056/169 - Step 6: Final answer
x = 1,024
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These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.