Finding the Third Proportional to 494 and 565
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Solution
The third proportional to 494 and 565 is: 646.20
Step by Step Solution
- Step 1: Write the proportion equation
494 : 565 = 565 : x - Step 2: Convert to fraction form
494/565 = 565/x - Step 3: Cross multiply
494x = 565 × 565 - Step 4: Simplify right side
494x = 319,225 - Step 5: Solve for x
x = 319,225/494 - Step 6: Final answer
x = 646.20
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.