Finding the Third Proportional to 1,071.75 and 1,296.75
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Solution
The third proportional to 1,071.75 and 1,296.75 is: 1,568.99
Step by Step Solution
- Step 1: Write the proportion equation
1,071.75 : 1,296.75 = 1,296.75 : x - Step 2: Convert to fraction form
1,071.75/1,296.75 = 1,296.75/x - Step 3: Cross multiply
1,071.75x = 1,296.75 × 1,296.75 - Step 4: Simplify right side
1,071.75x = 1,681,560.56 - Step 5: Solve for x
x = 1,681,560.56/1,071.75 - Step 6: Final answer
x = 1,568.99
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.