Finding the Third Proportional to 2,288 and 2,860
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Solution
The third proportional to 2,288 and 2,860 is: 3,575
Step by Step Solution
- Step 1: Write the proportion equation
2,288 : 2,860 = 2,860 : x - Step 2: Convert to fraction form
2,288/2,860 = 2,860/x - Step 3: Cross multiply
2,288x = 2,860 × 2,860 - Step 4: Simplify right side
2,288x = 8,179,600 - Step 5: Solve for x
x = 8,179,600/2,288 - Step 6: Final answer
x = 3,575
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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.