Finding the Third Proportional to 158 and 406
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Solution
The third proportional to 158 and 406 is: 1,043.27
Step by Step Solution
- Step 1: Write the proportion equation
158 : 406 = 406 : x - Step 2: Convert to fraction form
158/406 = 406/x - Step 3: Cross multiply
158x = 406 × 406 - Step 4: Simplify right side
158x = 164,836 - Step 5: Solve for x
x = 164,836/158 - Step 6: Final answer
x = 1,043.27
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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.