Finding the Third Proportional to 5,207.63 and 8,380.13
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Solution
The third proportional to 5,207.63 and 8,380.13 is: 13,485.32
Step by Step Solution
- Step 1: Write the proportion equation
5,207.63 : 8,380.13 = 8,380.13 : x - Step 2: Convert to fraction form
5,207.63/8,380.13 = 8,380.13/x - Step 3: Cross multiply
5,207.63x = 8,380.13 × 8,380.13 - Step 4: Simplify right side
5,207.63x = 70,226,495.02 - Step 5: Solve for x
x = 70,226,495.02/5,207.63 - Step 6: Final answer
x = 13,485.32
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.