Finding the Third Proportional to 180 and 462.50
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Solution
The third proportional to 180 and 462.50 is: 1,188.37
Step by Step Solution
- Step 1: Write the proportion equation
180 : 462.50 = 462.50 : x - Step 2: Convert to fraction form
180/462.50 = 462.50/x - Step 3: Cross multiply
180x = 462.50 × 462.50 - Step 4: Simplify right side
180x = 213,906.25 - Step 5: Solve for x
x = 213,906.25/180 - Step 6: Final answer
x = 1,188.37
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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.