Finding the Third Proportional to 312 and 672
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Solution
The third proportional to 312 and 672 is: 1,447.38
Step by Step Solution
- Step 1: Write the proportion equation
312 : 672 = 672 : x - Step 2: Convert to fraction form
312/672 = 672/x - Step 3: Cross multiply
312x = 672 × 672 - Step 4: Simplify right side
312x = 451,584 - Step 5: Solve for x
x = 451,584/312 - Step 6: Final answer
x = 1,447.38
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.