Finding the Third Proportional to 278 and 358
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Solution
The third proportional to 278 and 358 is: 461.02
Step by Step Solution
- Step 1: Write the proportion equation
278 : 358 = 358 : x - Step 2: Convert to fraction form
278/358 = 358/x - Step 3: Cross multiply
278x = 358 × 358 - Step 4: Simplify right side
278x = 128,164 - Step 5: Solve for x
x = 128,164/278 - Step 6: Final answer
x = 461.02
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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.