Finding the Third Proportional to 1,167 and 1,299
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Solution
The third proportional to 1,167 and 1,299 is: 1,445.93
Step by Step Solution
- Step 1: Write the proportion equation
1,167 : 1,299 = 1,299 : x - Step 2: Convert to fraction form
1,167/1,299 = 1,299/x - Step 3: Cross multiply
1,167x = 1,299 × 1,299 - Step 4: Simplify right side
1,167x = 1,687,401 - Step 5: Solve for x
x = 1,687,401/1,167 - Step 6: Final answer
x = 1,445.93
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.