Finding the Third Proportional to 258 and 536
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Solution
The third proportional to 258 and 536 is: 1,113.55
Step by Step Solution
- Step 1: Write the proportion equation
258 : 536 = 536 : x - Step 2: Convert to fraction form
258/536 = 536/x - Step 3: Cross multiply
258x = 536 × 536 - Step 4: Simplify right side
258x = 287,296 - Step 5: Solve for x
x = 287,296/258 - Step 6: Final answer
x = 1,113.55
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.