Finding the Third Proportional to 97.50 and 143.25
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Solution
The third proportional to 97.50 and 143.25 is: 210.47
Step by Step Solution
- Step 1: Write the proportion equation
97.50 : 143.25 = 143.25 : x - Step 2: Convert to fraction form
97.50/143.25 = 143.25/x - Step 3: Cross multiply
97.50x = 143.25 × 143.25 - Step 4: Simplify right side
97.50x = 20,520.56 - Step 5: Solve for x
x = 20,520.56/97.50 - Step 6: Final answer
x = 210.47
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.