Finding the Third Proportional to 709 and 1,314
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Solution
The third proportional to 709 and 1,314 is: 2,435.26
Step by Step Solution
- Step 1: Write the proportion equation
709 : 1,314 = 1,314 : x - Step 2: Convert to fraction form
709/1,314 = 1,314/x - Step 3: Cross multiply
709x = 1,314 × 1,314 - Step 4: Simplify right side
709x = 1,726,596 - Step 5: Solve for x
x = 1,726,596/709 - Step 6: Final answer
x = 2,435.26
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.