Finding the Third Proportional to 12,982.50 and 14,197.50
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Solution
The third proportional to 12,982.50 and 14,197.50 is: 15,526.21
Step by Step Solution
- Step 1: Write the proportion equation
12,982.50 : 14,197.50 = 14,197.50 : x - Step 2: Convert to fraction form
12,982.50/14,197.50 = 14,197.50/x - Step 3: Cross multiply
12,982.50x = 14,197.50 × 14,197.50 - Step 4: Simplify right side
12,982.50x = 201,569,006.25 - Step 5: Solve for x
x = 201,569,006.25/12,982.50 - Step 6: Final answer
x = 15,526.21
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.