Finding the Third Proportional to 5,416.50 and 8,125.50
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Solution
The third proportional to 5,416.50 and 8,125.50 is: 12,189.38
Step by Step Solution
- Step 1: Write the proportion equation
5,416.50 : 8,125.50 = 8,125.50 : x - Step 2: Convert to fraction form
5,416.50/8,125.50 = 8,125.50/x - Step 3: Cross multiply
5,416.50x = 8,125.50 × 8,125.50 - Step 4: Simplify right side
5,416.50x = 66,023,750.25 - Step 5: Solve for x
x = 66,023,750.25/5,416.50 - Step 6: Final answer
x = 12,189.38
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.