Finding the Third Proportional to 278 and 616
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Solution
The third proportional to 278 and 616 is: 1,364.95
Step by Step Solution
- Step 1: Write the proportion equation
278 : 616 = 616 : x - Step 2: Convert to fraction form
278/616 = 616/x - Step 3: Cross multiply
278x = 616 × 616 - Step 4: Simplify right side
278x = 379,456 - Step 5: Solve for x
x = 379,456/278 - Step 6: Final answer
x = 1,364.95
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.