Finding the Third Proportional to 10,278 and 22,138
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Solution
The third proportional to 10,278 and 22,138 is: 47,683.50
Step by Step Solution
- Step 1: Write the proportion equation
10,278 : 22,138 = 22,138 : x - Step 2: Convert to fraction form
10,278/22,138 = 22,138/x - Step 3: Cross multiply
10,278x = 22,138 × 22,138 - Step 4: Simplify right side
10,278x = 490,091,044 - Step 5: Solve for x
x = 490,091,044/10,278 - Step 6: Final answer
x = 47,683.50
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.