Finding the Third Proportional to 471.75 and 692.25
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Solution
The third proportional to 471.75 and 692.25 is: 1,015.81
Step by Step Solution
- Step 1: Write the proportion equation
471.75 : 692.25 = 692.25 : x - Step 2: Convert to fraction form
471.75/692.25 = 692.25/x - Step 3: Cross multiply
471.75x = 692.25 × 692.25 - Step 4: Simplify right side
471.75x = 479,210.06 - Step 5: Solve for x
x = 479,210.06/471.75 - Step 6: Final answer
x = 1,015.81
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.