Finding the Third Proportional to 5,138.44 and 12,349.97
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Solution
The third proportional to 5,138.44 and 12,349.97 is: 29,682.51
Step by Step Solution
- Step 1: Write the proportion equation
5,138.44 : 12,349.97 = 12,349.97 : x - Step 2: Convert to fraction form
5,138.44/12,349.97 = 12,349.97/x - Step 3: Cross multiply
5,138.44x = 12,349.97 × 12,349.97 - Step 4: Simplify right side
5,138.44x = 152,521,728.13 - Step 5: Solve for x
x = 152,521,728.13/5,138.44 - Step 6: Final answer
x = 29,682.51
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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.