Finding the Third Proportional to 7,078.50 and 8,266.50
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Solution
The third proportional to 7,078.50 and 8,266.50 is: 9,653.88
Step by Step Solution
- Step 1: Write the proportion equation
7,078.50 : 8,266.50 = 8,266.50 : x - Step 2: Convert to fraction form
7,078.50/8,266.50 = 8,266.50/x - Step 3: Cross multiply
7,078.50x = 8,266.50 × 8,266.50 - Step 4: Simplify right side
7,078.50x = 68,335,022.25 - Step 5: Solve for x
x = 68,335,022.25/7,078.50 - Step 6: Final answer
x = 9,653.88
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.