Finding the Third Proportional to 5,338 and 7,807
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Solution
The third proportional to 5,338 and 7,807 is: 11,417.99
Step by Step Solution
- Step 1: Write the proportion equation
5,338 : 7,807 = 7,807 : x - Step 2: Convert to fraction form
5,338/7,807 = 7,807/x - Step 3: Cross multiply
5,338x = 7,807 × 7,807 - Step 4: Simplify right side
5,338x = 60,949,249 - Step 5: Solve for x
x = 60,949,249/5,338 - Step 6: Final answer
x = 11,417.99
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.