Finding the Third Proportional to 259.50 and 513
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Solution
The third proportional to 259.50 and 513 is: 1,014.14
Step by Step Solution
- Step 1: Write the proportion equation
259.50 : 513 = 513 : x - Step 2: Convert to fraction form
259.50/513 = 513/x - Step 3: Cross multiply
259.50x = 513 × 513 - Step 4: Simplify right side
259.50x = 263,169 - Step 5: Solve for x
x = 263,169/259.50 - Step 6: Final answer
x = 1,014.14
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.