Finding the Third Proportional to 156 and 270
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Solution
The third proportional to 156 and 270 is: 467.31
Step by Step Solution
- Step 1: Write the proportion equation
156 : 270 = 270 : x - Step 2: Convert to fraction form
156/270 = 270/x - Step 3: Cross multiply
156x = 270 × 270 - Step 4: Simplify right side
156x = 72,900 - Step 5: Solve for x
x = 72,900/156 - Step 6: Final answer
x = 467.31
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Why These Related Problems?
These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.