Finding the Third Proportional to 709 and 836
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Solution
The third proportional to 709 and 836 is: 985.75
Step by Step Solution
- Step 1: Write the proportion equation
709 : 836 = 836 : x - Step 2: Convert to fraction form
709/836 = 836/x - Step 3: Cross multiply
709x = 836 × 836 - Step 4: Simplify right side
709x = 698,896 - Step 5: Solve for x
x = 698,896/709 - Step 6: Final answer
x = 985.75
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.