Finding the Third Proportional to 429 and 727.50
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Solution
The third proportional to 429 and 727.50 is: 1,233.70
Step by Step Solution
- Step 1: Write the proportion equation
429 : 727.50 = 727.50 : x - Step 2: Convert to fraction form
429/727.50 = 727.50/x - Step 3: Cross multiply
429x = 727.50 × 727.50 - Step 4: Simplify right side
429x = 529,256.25 - Step 5: Solve for x
x = 529,256.25/429 - Step 6: Final answer
x = 1,233.70
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Why These Related Problems?
These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.