Finding the Third Proportional to 159 and 286
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Solution
The third proportional to 159 and 286 is: 514.44
Step by Step Solution
- Step 1: Write the proportion equation
159 : 286 = 286 : x - Step 2: Convert to fraction form
159/286 = 286/x - Step 3: Cross multiply
159x = 286 × 286 - Step 4: Simplify right side
159x = 81,796 - Step 5: Solve for x
x = 81,796/159 - Step 6: Final answer
x = 514.44
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.