Finding the Third Proportional to 125 and 214.50
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Solution
The third proportional to 125 and 214.50 is: 368.08
Step by Step Solution
- Step 1: Write the proportion equation
125 : 214.50 = 214.50 : x - Step 2: Convert to fraction form
125/214.50 = 214.50/x - Step 3: Cross multiply
125x = 214.50 × 214.50 - Step 4: Simplify right side
125x = 46,010.25 - Step 5: Solve for x
x = 46,010.25/125 - Step 6: Final answer
x = 368.08
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Why These Related Problems?
These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.