Finding the Third Proportional to 455 and 1,016
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Solution
The third proportional to 455 and 1,016 is: 2,268.69
Step by Step Solution
- Step 1: Write the proportion equation
455 : 1,016 = 1,016 : x - Step 2: Convert to fraction form
455/1,016 = 1,016/x - Step 3: Cross multiply
455x = 1,016 × 1,016 - Step 4: Simplify right side
455x = 1,032,256 - Step 5: Solve for x
x = 1,032,256/455 - Step 6: Final answer
x = 2,268.69
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.