Finding the Third Proportional to 2,207 and 3,243
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Solution
The third proportional to 2,207 and 3,243 is: 4,765.31
Step by Step Solution
- Step 1: Write the proportion equation
2,207 : 3,243 = 3,243 : x - Step 2: Convert to fraction form
2,207/3,243 = 3,243/x - Step 3: Cross multiply
2,207x = 3,243 × 3,243 - Step 4: Simplify right side
2,207x = 10,517,049 - Step 5: Solve for x
x = 10,517,049/2,207 - Step 6: Final answer
x = 4,765.31
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.