Finding the Third Proportional to 709 and 865
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Solution
The third proportional to 709 and 865 is: 1,055.32
Step by Step Solution
- Step 1: Write the proportion equation
709 : 865 = 865 : x - Step 2: Convert to fraction form
709/865 = 865/x - Step 3: Cross multiply
709x = 865 × 865 - Step 4: Simplify right side
709x = 748,225 - Step 5: Solve for x
x = 748,225/709 - Step 6: Final answer
x = 1,055.32
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.