Finding the Third Proportional to 1,257 and 1,374
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Solution
The third proportional to 1,257 and 1,374 is: 1,501.89
Step by Step Solution
- Step 1: Write the proportion equation
1,257 : 1,374 = 1,374 : x - Step 2: Convert to fraction form
1,257/1,374 = 1,374/x - Step 3: Cross multiply
1,257x = 1,374 × 1,374 - Step 4: Simplify right side
1,257x = 1,887,876 - Step 5: Solve for x
x = 1,887,876/1,257 - Step 6: Final answer
x = 1,501.89
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.