Finding the Third Proportional to 226,284.75 and 311,709.09
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Solution
The third proportional to 226,284.75 and 311,709.09 is: 429,381.83
Step by Step Solution
- Step 1: Write the proportion equation
226,284.75 : 311,709.09 = 311,709.09 : x - Step 2: Convert to fraction form
226,284.75/311,709.09 = 311,709.09/x - Step 3: Cross multiply
226,284.75x = 311,709.09 × 311,709.09 - Step 4: Simplify right side
226,284.75x = 97,162,559,126.45 - Step 5: Solve for x
x = 97,162,559,126.45/226,284.75 - Step 6: Final answer
x = 429,381.83
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.