Finding the Third Proportional to 1,078 and 1,540
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Solution
The third proportional to 1,078 and 1,540 is: 2,200
Step by Step Solution
- Step 1: Write the proportion equation
1,078 : 1,540 = 1,540 : x - Step 2: Convert to fraction form
1,078/1,540 = 1,540/x - Step 3: Cross multiply
1,078x = 1,540 × 1,540 - Step 4: Simplify right side
1,078x = 2,371,600 - Step 5: Solve for x
x = 2,371,600/1,078 - Step 6: Final answer
x = 2,200
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.