Finding the Third Proportional to 259 and 377
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Solution
The third proportional to 259 and 377 is: 548.76
Step by Step Solution
- Step 1: Write the proportion equation
259 : 377 = 377 : x - Step 2: Convert to fraction form
259/377 = 377/x - Step 3: Cross multiply
259x = 377 × 377 - Step 4: Simplify right side
259x = 142,129 - Step 5: Solve for x
x = 142,129/259 - Step 6: Final answer
x = 548.76
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.