Finding the Third Proportional to 96 and 253.25
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Solution
The third proportional to 96 and 253.25 is: 668.08
Step by Step Solution
- Step 1: Write the proportion equation
96 : 253.25 = 253.25 : x - Step 2: Convert to fraction form
96/253.25 = 253.25/x - Step 3: Cross multiply
96x = 253.25 × 253.25 - Step 4: Simplify right side
96x = 64,135.56 - Step 5: Solve for x
x = 64,135.56/96 - Step 6: Final answer
x = 668.08
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These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.