Finding the Third Proportional to 11,908 and 17,970
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Solution
The third proportional to 11,908 and 17,970 is: 27,117.98
Step by Step Solution
- Step 1: Write the proportion equation
11,908 : 17,970 = 17,970 : x - Step 2: Convert to fraction form
11,908/17,970 = 17,970/x - Step 3: Cross multiply
11,908x = 17,970 × 17,970 - Step 4: Simplify right side
11,908x = 322,920,900 - Step 5: Solve for x
x = 322,920,900/11,908 - Step 6: Final answer
x = 27,117.98
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.