Finding the Third Proportional to 13,948 and 30,649
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Solution
The third proportional to 13,948 and 30,649 is: 67,347.38
Step by Step Solution
- Step 1: Write the proportion equation
13,948 : 30,649 = 30,649 : x - Step 2: Convert to fraction form
13,948/30,649 = 30,649/x - Step 3: Cross multiply
13,948x = 30,649 × 30,649 - Step 4: Simplify right side
13,948x = 939,361,201 - Step 5: Solve for x
x = 939,361,201/13,948 - Step 6: Final answer
x = 67,347.38
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.