Finding the Third Proportional to 278 and 368
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Solution
The third proportional to 278 and 368 is: 487.14
Step by Step Solution
- Step 1: Write the proportion equation
278 : 368 = 368 : x - Step 2: Convert to fraction form
278/368 = 368/x - Step 3: Cross multiply
278x = 368 × 368 - Step 4: Simplify right side
278x = 135,424 - Step 5: Solve for x
x = 135,424/278 - Step 6: Final answer
x = 487.14
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.