Finding the Third Proportional to 589 and 641.50
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Solution
The third proportional to 589 and 641.50 is: 698.68
Step by Step Solution
- Step 1: Write the proportion equation
589 : 641.50 = 641.50 : x - Step 2: Convert to fraction form
589/641.50 = 641.50/x - Step 3: Cross multiply
589x = 641.50 × 641.50 - Step 4: Simplify right side
589x = 411,522.25 - Step 5: Solve for x
x = 411,522.25/589 - Step 6: Final answer
x = 698.68
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.