Finding the Third Proportional to 231 and 562.50
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Solution
The third proportional to 231 and 562.50 is: 1,369.72
Step by Step Solution
- Step 1: Write the proportion equation
231 : 562.50 = 562.50 : x - Step 2: Convert to fraction form
231/562.50 = 562.50/x - Step 3: Cross multiply
231x = 562.50 × 562.50 - Step 4: Simplify right side
231x = 316,406.25 - Step 5: Solve for x
x = 316,406.25/231 - Step 6: Final answer
x = 1,369.72
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Why These Related Problems?
These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.