Finding the Third Proportional to 496 and 565
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Solution
The third proportional to 496 and 565 is: 643.60
Step by Step Solution
- Step 1: Write the proportion equation
496 : 565 = 565 : x - Step 2: Convert to fraction form
496/565 = 565/x - Step 3: Cross multiply
496x = 565 × 565 - Step 4: Simplify right side
496x = 319,225 - Step 5: Solve for x
x = 319,225/496 - Step 6: Final answer
x = 643.60
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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.