Finding the Third Proportional to 76 and 189.25
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Solution
The third proportional to 76 and 189.25 is: 471.26
Step by Step Solution
- Step 1: Write the proportion equation
76 : 189.25 = 189.25 : x - Step 2: Convert to fraction form
76/189.25 = 189.25/x - Step 3: Cross multiply
76x = 189.25 × 189.25 - Step 4: Simplify right side
76x = 35,815.56 - Step 5: Solve for x
x = 35,815.56/76 - Step 6: Final answer
x = 471.26
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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.