Finding the Third Proportional to 258,509.81 and 388,038.09
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Solution
The third proportional to 258,509.81 and 388,038.09 is: 582,467.49
Step by Step Solution
- Step 1: Write the proportion equation
258,509.81 : 388,038.09 = 388,038.09 : x - Step 2: Convert to fraction form
258,509.81/388,038.09 = 388,038.09/x - Step 3: Cross multiply
258,509.81x = 388,038.09 × 388,038.09 - Step 4: Simplify right side
258,509.81x = 150,573,562,201.13 - Step 5: Solve for x
x = 150,573,562,201.13/258,509.81 - Step 6: Final answer
x = 582,467.49
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.