Finding the Third Proportional to 213.75 and 483.75
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Solution
The third proportional to 213.75 and 483.75 is: 1,094.80
Step by Step Solution
- Step 1: Write the proportion equation
213.75 : 483.75 = 483.75 : x - Step 2: Convert to fraction form
213.75/483.75 = 483.75/x - Step 3: Cross multiply
213.75x = 483.75 × 483.75 - Step 4: Simplify right side
213.75x = 234,014.06 - Step 5: Solve for x
x = 234,014.06/213.75 - Step 6: Final answer
x = 1,094.80
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.