Finding the Third Proportional to 8,205.75 and 11,985.75
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Solution
The third proportional to 8,205.75 and 11,985.75 is: 17,507.02
Step by Step Solution
- Step 1: Write the proportion equation
8,205.75 : 11,985.75 = 11,985.75 : x - Step 2: Convert to fraction form
8,205.75/11,985.75 = 11,985.75/x - Step 3: Cross multiply
8,205.75x = 11,985.75 × 11,985.75 - Step 4: Simplify right side
8,205.75x = 143,658,203.06 - Step 5: Solve for x
x = 143,658,203.06/8,205.75 - Step 6: Final answer
x = 17,507.02
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.