Finding the Third Proportional to 1,600 and 2,160
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Solution
The third proportional to 1,600 and 2,160 is: 2,916
Step by Step Solution
- Step 1: Write the proportion equation
1,600 : 2,160 = 2,160 : x - Step 2: Convert to fraction form
1,600/2,160 = 2,160/x - Step 3: Cross multiply
1,600x = 2,160 × 2,160 - Step 4: Simplify right side
1,600x = 4,665,600 - Step 5: Solve for x
x = 4,665,600/1,600 - Step 6: Final answer
x = 2,916
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.