Finding the Third Proportional to 311,913 and 472,274
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Solution
The third proportional to 311,913 and 472,274 is: 715,079.95
Step by Step Solution
- Step 1: Write the proportion equation
311,913 : 472,274 = 472,274 : x - Step 2: Convert to fraction form
311,913/472,274 = 472,274/x - Step 3: Cross multiply
311,913x = 472,274 × 472,274 - Step 4: Simplify right side
311,913x = 223,042,731,076 - Step 5: Solve for x
x = 223,042,731,076/311,913 - Step 6: Final answer
x = 715,079.95
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.