Finding the Third Proportional to 429.50 and 463
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Solution
The third proportional to 429.50 and 463 is: 499.11
Step by Step Solution
- Step 1: Write the proportion equation
429.50 : 463 = 463 : x - Step 2: Convert to fraction form
429.50/463 = 463/x - Step 3: Cross multiply
429.50x = 463 × 463 - Step 4: Simplify right side
429.50x = 214,369 - Step 5: Solve for x
x = 214,369/429.50 - Step 6: Final answer
x = 499.11
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.