Finding the Third Proportional to 13,993 and 30,748
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Solution
The third proportional to 13,993 and 30,748 is: 67,565.18
Step by Step Solution
- Step 1: Write the proportion equation
13,993 : 30,748 = 30,748 : x - Step 2: Convert to fraction form
13,993/30,748 = 30,748/x - Step 3: Cross multiply
13,993x = 30,748 × 30,748 - Step 4: Simplify right side
13,993x = 945,439,504 - Step 5: Solve for x
x = 945,439,504/13,993 - Step 6: Final answer
x = 67,565.18
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.