Finding the Third Proportional to 276 and 676
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Solution
The third proportional to 276 and 676 is: 1,655.71
Step by Step Solution
- Step 1: Write the proportion equation
276 : 676 = 676 : x - Step 2: Convert to fraction form
276/676 = 676/x - Step 3: Cross multiply
276x = 676 × 676 - Step 4: Simplify right side
276x = 456,976 - Step 5: Solve for x
x = 456,976/276 - Step 6: Final answer
x = 1,655.71
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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.