Finding the Third Proportional to 12,962 and 16,851
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Solution
The third proportional to 12,962 and 16,851 is: 21,906.82
Step by Step Solution
- Step 1: Write the proportion equation
12,962 : 16,851 = 16,851 : x - Step 2: Convert to fraction form
12,962/16,851 = 16,851/x - Step 3: Cross multiply
12,962x = 16,851 × 16,851 - Step 4: Simplify right side
12,962x = 283,956,201 - Step 5: Solve for x
x = 283,956,201/12,962 - Step 6: Final answer
x = 21,906.82
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.