Finding the Third Proportional to 204 and 430
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Solution
The third proportional to 204 and 430 is: 906.37
Step by Step Solution
- Step 1: Write the proportion equation
204 : 430 = 430 : x - Step 2: Convert to fraction form
204/430 = 430/x - Step 3: Cross multiply
204x = 430 × 430 - Step 4: Simplify right side
204x = 184,900 - Step 5: Solve for x
x = 184,900/204 - Step 6: Final answer
x = 906.37
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.