Finding the Third Proportional to 1,683 and 3,753
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Solution
The third proportional to 1,683 and 3,753 is: 8,368.99
Step by Step Solution
- Step 1: Write the proportion equation
1,683 : 3,753 = 3,753 : x - Step 2: Convert to fraction form
1,683/3,753 = 3,753/x - Step 3: Cross multiply
1,683x = 3,753 × 3,753 - Step 4: Simplify right side
1,683x = 14,085,009 - Step 5: Solve for x
x = 14,085,009/1,683 - Step 6: Final answer
x = 8,368.99
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.