Finding the Third Proportional to 270 and 340
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Solution
The third proportional to 270 and 340 is: 428.15
Step by Step Solution
- Step 1: Write the proportion equation
270 : 340 = 340 : x - Step 2: Convert to fraction form
270/340 = 340/x - Step 3: Cross multiply
270x = 340 × 340 - Step 4: Simplify right side
270x = 115,600 - Step 5: Solve for x
x = 115,600/270 - Step 6: Final answer
x = 428.15
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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.