Finding the Third Proportional to 270 and 460
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Solution
The third proportional to 270 and 460 is: 783.70
Step by Step Solution
- Step 1: Write the proportion equation
270 : 460 = 460 : x - Step 2: Convert to fraction form
270/460 = 460/x - Step 3: Cross multiply
270x = 460 × 460 - Step 4: Simplify right side
270x = 211,600 - Step 5: Solve for x
x = 211,600/270 - Step 6: Final answer
x = 783.70
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Why These Related Problems?
These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.