Finding the Third Proportional to 10,509.75 and 19,257.75
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Solution
The third proportional to 10,509.75 and 19,257.75 is: 35,287.32
Step by Step Solution
- Step 1: Write the proportion equation
10,509.75 : 19,257.75 = 19,257.75 : x - Step 2: Convert to fraction form
10,509.75/19,257.75 = 19,257.75/x - Step 3: Cross multiply
10,509.75x = 19,257.75 × 19,257.75 - Step 4: Simplify right side
10,509.75x = 370,860,935.06 - Step 5: Solve for x
x = 370,860,935.06/10,509.75 - Step 6: Final answer
x = 35,287.32
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Why These Related Problems?
These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.