Finding the Third Proportional to 340 and 587
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Solution
The third proportional to 340 and 587 is: 1,013.44
Step by Step Solution
- Step 1: Write the proportion equation
340 : 587 = 587 : x - Step 2: Convert to fraction form
340/587 = 587/x - Step 3: Cross multiply
340x = 587 × 587 - Step 4: Simplify right side
340x = 344,569 - Step 5: Solve for x
x = 344,569/340 - Step 6: Final answer
x = 1,013.44
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Why These Related Problems?
These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.