Finding the Third Proportional to 5,176.50 and 7,317.50
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Solution
The third proportional to 5,176.50 and 7,317.50 is: 10,344.02
Step by Step Solution
- Step 1: Write the proportion equation
5,176.50 : 7,317.50 = 7,317.50 : x - Step 2: Convert to fraction form
5,176.50/7,317.50 = 7,317.50/x - Step 3: Cross multiply
5,176.50x = 7,317.50 × 7,317.50 - Step 4: Simplify right side
5,176.50x = 53,545,806.25 - Step 5: Solve for x
x = 53,545,806.25/5,176.50 - Step 6: Final answer
x = 10,344.02
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.