Finding the Third Proportional to 429 and 1,065
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Solution
The third proportional to 429 and 1,065 is: 2,643.88
Step by Step Solution
- Step 1: Write the proportion equation
429 : 1,065 = 1,065 : x - Step 2: Convert to fraction form
429/1,065 = 1,065/x - Step 3: Cross multiply
429x = 1,065 × 1,065 - Step 4: Simplify right side
429x = 1,134,225 - Step 5: Solve for x
x = 1,134,225/429 - Step 6: Final answer
x = 2,643.88
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Why These Related Problems?
These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.