Finding the Third Proportional to 278 and 306
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Solution
The third proportional to 278 and 306 is: 336.82
Step by Step Solution
- Step 1: Write the proportion equation
278 : 306 = 306 : x - Step 2: Convert to fraction form
278/306 = 306/x - Step 3: Cross multiply
278x = 306 × 306 - Step 4: Simplify right side
278x = 93,636 - Step 5: Solve for x
x = 93,636/278 - Step 6: Final answer
x = 336.82
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.