Finding the Third Proportional to 38.25 and 56.25
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Solution
The third proportional to 38.25 and 56.25 is: 82.72
Step by Step Solution
- Step 1: Write the proportion equation
38.25 : 56.25 = 56.25 : x - Step 2: Convert to fraction form
38.25/56.25 = 56.25/x - Step 3: Cross multiply
38.25x = 56.25 × 56.25 - Step 4: Simplify right side
38.25x = 3,164.06 - Step 5: Solve for x
x = 3,164.06/38.25 - Step 6: Final answer
x = 82.72
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.