Finding the Third Proportional to 1,975 and 2,765
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Solution
The third proportional to 1,975 and 2,765 is: 3,871
Step by Step Solution
- Step 1: Write the proportion equation
1,975 : 2,765 = 2,765 : x - Step 2: Convert to fraction form
1,975/2,765 = 2,765/x - Step 3: Cross multiply
1,975x = 2,765 × 2,765 - Step 4: Simplify right side
1,975x = 7,645,225 - Step 5: Solve for x
x = 7,645,225/1,975 - Step 6: Final answer
x = 3,871
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.