Finding the Third Proportional to 314 and 609
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Solution
The third proportional to 314 and 609 is: 1,181.15
Step by Step Solution
- Step 1: Write the proportion equation
314 : 609 = 609 : x - Step 2: Convert to fraction form
314/609 = 609/x - Step 3: Cross multiply
314x = 609 × 609 - Step 4: Simplify right side
314x = 370,881 - Step 5: Solve for x
x = 370,881/314 - Step 6: Final answer
x = 1,181.15
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Why These Related Problems?
These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.