Finding the Third Proportional to 1,692.75 and 2,649.75
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Solution
The third proportional to 1,692.75 and 2,649.75 is: 4,147.79
Step by Step Solution
- Step 1: Write the proportion equation
1,692.75 : 2,649.75 = 2,649.75 : x - Step 2: Convert to fraction form
1,692.75/2,649.75 = 2,649.75/x - Step 3: Cross multiply
1,692.75x = 2,649.75 × 2,649.75 - Step 4: Simplify right side
1,692.75x = 7,021,175.06 - Step 5: Solve for x
x = 7,021,175.06/1,692.75 - Step 6: Final answer
x = 4,147.79
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.