Finding the Third Proportional to 105.25 and 133.50
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Solution
The third proportional to 105.25 and 133.50 is: 169.33
Step by Step Solution
- Step 1: Write the proportion equation
105.25 : 133.50 = 133.50 : x - Step 2: Convert to fraction form
105.25/133.50 = 133.50/x - Step 3: Cross multiply
105.25x = 133.50 × 133.50 - Step 4: Simplify right side
105.25x = 17,822.25 - Step 5: Solve for x
x = 17,822.25/105.25 - Step 6: Final answer
x = 169.33
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.