Finding the Third Proportional to 1,404 and 1,638
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Solution
The third proportional to 1,404 and 1,638 is: 1,911
Step by Step Solution
- Step 1: Write the proportion equation
1,404 : 1,638 = 1,638 : x - Step 2: Convert to fraction form
1,404/1,638 = 1,638/x - Step 3: Cross multiply
1,404x = 1,638 × 1,638 - Step 4: Simplify right side
1,404x = 2,683,044 - Step 5: Solve for x
x = 2,683,044/1,404 - Step 6: Final answer
x = 1,911
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.