Finding the Third Proportional to 258 and 456
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Solution
The third proportional to 258 and 456 is: 805.95
Step by Step Solution
- Step 1: Write the proportion equation
258 : 456 = 456 : x - Step 2: Convert to fraction form
258/456 = 456/x - Step 3: Cross multiply
258x = 456 × 456 - Step 4: Simplify right side
258x = 207,936 - Step 5: Solve for x
x = 207,936/258 - Step 6: Final answer
x = 805.95
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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.