Finding the Third Proportional to 509 and 1,185
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Solution
The third proportional to 509 and 1,185 is: 2,758.79
Step by Step Solution
- Step 1: Write the proportion equation
509 : 1,185 = 1,185 : x - Step 2: Convert to fraction form
509/1,185 = 1,185/x - Step 3: Cross multiply
509x = 1,185 × 1,185 - Step 4: Simplify right side
509x = 1,404,225 - Step 5: Solve for x
x = 1,404,225/509 - Step 6: Final answer
x = 2,758.79
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.