Finding the Third Proportional to 278 and 613.50
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Solution
The third proportional to 278 and 613.50 is: 1,353.89
Step by Step Solution
- Step 1: Write the proportion equation
278 : 613.50 = 613.50 : x - Step 2: Convert to fraction form
278/613.50 = 613.50/x - Step 3: Cross multiply
278x = 613.50 × 613.50 - Step 4: Simplify right side
278x = 376,382.25 - Step 5: Solve for x
x = 376,382.25/278 - Step 6: Final answer
x = 1,353.89
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.