Finding the Third Proportional to 76 and 195.50
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Solution
The third proportional to 76 and 195.50 is: 502.90
Step by Step Solution
- Step 1: Write the proportion equation
76 : 195.50 = 195.50 : x - Step 2: Convert to fraction form
76/195.50 = 195.50/x - Step 3: Cross multiply
76x = 195.50 × 195.50 - Step 4: Simplify right side
76x = 38,220.25 - Step 5: Solve for x
x = 38,220.25/76 - Step 6: Final answer
x = 502.90
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Why These Related Problems?
These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.