Finding the Third Proportional to 7,197.50 and 10,971.50
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Solution
The third proportional to 7,197.50 and 10,971.50 is: 16,724.39
Step by Step Solution
- Step 1: Write the proportion equation
7,197.50 : 10,971.50 = 10,971.50 : x - Step 2: Convert to fraction form
7,197.50/10,971.50 = 10,971.50/x - Step 3: Cross multiply
7,197.50x = 10,971.50 × 10,971.50 - Step 4: Simplify right side
7,197.50x = 120,373,812.25 - Step 5: Solve for x
x = 120,373,812.25/7,197.50 - Step 6: Final answer
x = 16,724.39
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.