Finding the Third Proportional to 278 and 418
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Solution
The third proportional to 278 and 418 is: 628.50
Step by Step Solution
- Step 1: Write the proportion equation
278 : 418 = 418 : x - Step 2: Convert to fraction form
278/418 = 418/x - Step 3: Cross multiply
278x = 418 × 418 - Step 4: Simplify right side
278x = 174,724 - Step 5: Solve for x
x = 174,724/278 - Step 6: Final answer
x = 628.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.