Finding the Third Proportional to 255 and 546
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Solution
The third proportional to 255 and 546 is: 1,169.08
Step by Step Solution
- Step 1: Write the proportion equation
255 : 546 = 546 : x - Step 2: Convert to fraction form
255/546 = 546/x - Step 3: Cross multiply
255x = 546 × 546 - Step 4: Simplify right side
255x = 298,116 - Step 5: Solve for x
x = 298,116/255 - Step 6: Final answer
x = 1,169.08
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.