Finding the Third Proportional to 27,142 and 57,200
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Solution
The third proportional to 27,142 and 57,200 is: 120,545.28
Step by Step Solution
- Step 1: Write the proportion equation
27,142 : 57,200 = 57,200 : x - Step 2: Convert to fraction form
27,142/57,200 = 57,200/x - Step 3: Cross multiply
27,142x = 57,200 × 57,200 - Step 4: Simplify right side
27,142x = 3,271,840,000 - Step 5: Solve for x
x = 3,271,840,000/27,142 - Step 6: Final answer
x = 120,545.28
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.