Finding the Third Proportional to 53.25 and 64
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Solution
The third proportional to 53.25 and 64 is: 76.92
Step by Step Solution
- Step 1: Write the proportion equation
53.25 : 64 = 64 : x - Step 2: Convert to fraction form
53.25/64 = 64/x - Step 3: Cross multiply
53.25x = 64 × 64 - Step 4: Simplify right side
53.25x = 4,096 - Step 5: Solve for x
x = 4,096/53.25 - Step 6: Final answer
x = 76.92
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.