Finding the Third Proportional to 1,038.25 and 2,163.75
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Solution
The third proportional to 1,038.25 and 2,163.75 is: 4,509.33
Step by Step Solution
- Step 1: Write the proportion equation
1,038.25 : 2,163.75 = 2,163.75 : x - Step 2: Convert to fraction form
1,038.25/2,163.75 = 2,163.75/x - Step 3: Cross multiply
1,038.25x = 2,163.75 × 2,163.75 - Step 4: Simplify right side
1,038.25x = 4,681,814.06 - Step 5: Solve for x
x = 4,681,814.06/1,038.25 - Step 6: Final answer
x = 4,509.33
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.