Finding the Third Proportional to 180 and 405.50
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Solution
The third proportional to 180 and 405.50 is: 913.50
Step by Step Solution
- Step 1: Write the proportion equation
180 : 405.50 = 405.50 : x - Step 2: Convert to fraction form
180/405.50 = 405.50/x - Step 3: Cross multiply
180x = 405.50 × 405.50 - Step 4: Simplify right side
180x = 164,430.25 - Step 5: Solve for x
x = 164,430.25/180 - Step 6: Final answer
x = 913.50
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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.