Finding the Third Proportional to 269 and 727.50
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Solution
The third proportional to 269 and 727.50 is: 1,967.50
Step by Step Solution
- Step 1: Write the proportion equation
269 : 727.50 = 727.50 : x - Step 2: Convert to fraction form
269/727.50 = 727.50/x - Step 3: Cross multiply
269x = 727.50 × 727.50 - Step 4: Simplify right side
269x = 529,256.25 - Step 5: Solve for x
x = 529,256.25/269 - Step 6: Final answer
x = 1,967.50
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.