Finding the Third Proportional to 1,807 and 2,747
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Solution
The third proportional to 1,807 and 2,747 is: 4,175.99
Step by Step Solution
- Step 1: Write the proportion equation
1,807 : 2,747 = 2,747 : x - Step 2: Convert to fraction form
1,807/2,747 = 2,747/x - Step 3: Cross multiply
1,807x = 2,747 × 2,747 - Step 4: Simplify right side
1,807x = 7,546,009 - Step 5: Solve for x
x = 7,546,009/1,807 - Step 6: Final answer
x = 4,175.99
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.