Finding the Third Proportional to 159 and 163
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Solution
The third proportional to 159 and 163 is: 167.10
Step by Step Solution
- Step 1: Write the proportion equation
159 : 163 = 163 : x - Step 2: Convert to fraction form
159/163 = 163/x - Step 3: Cross multiply
159x = 163 × 163 - Step 4: Simplify right side
159x = 26,569 - Step 5: Solve for x
x = 26,569/159 - Step 6: Final answer
x = 167.10
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.