Finding the Third Proportional to 513 and 565
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Solution
The third proportional to 513 and 565 is: 622.27
Step by Step Solution
- Step 1: Write the proportion equation
513 : 565 = 565 : x - Step 2: Convert to fraction form
513/565 = 565/x - Step 3: Cross multiply
513x = 565 × 565 - Step 4: Simplify right side
513x = 319,225 - Step 5: Solve for x
x = 319,225/513 - Step 6: Final answer
x = 622.27
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.