Finding the Third Proportional to 1,089 and 1,414
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Solution
The third proportional to 1,089 and 1,414 is: 1,835.99
Step by Step Solution
- Step 1: Write the proportion equation
1,089 : 1,414 = 1,414 : x - Step 2: Convert to fraction form
1,089/1,414 = 1,414/x - Step 3: Cross multiply
1,089x = 1,414 × 1,414 - Step 4: Simplify right side
1,089x = 1,999,396 - Step 5: Solve for x
x = 1,999,396/1,089 - Step 6: Final answer
x = 1,835.99
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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.