Finding the Third Proportional to 276 and 654
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Solution
The third proportional to 276 and 654 is: 1,549.70
Step by Step Solution
- Step 1: Write the proportion equation
276 : 654 = 654 : x - Step 2: Convert to fraction form
276/654 = 654/x - Step 3: Cross multiply
276x = 654 × 654 - Step 4: Simplify right side
276x = 427,716 - Step 5: Solve for x
x = 427,716/276 - Step 6: Final answer
x = 1,549.70
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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.