Finding the Third Proportional to 67,470 and 147,846
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Solution
The third proportional to 67,470 and 147,846 is: 323,972.72
Step by Step Solution
- Step 1: Write the proportion equation
67,470 : 147,846 = 147,846 : x - Step 2: Convert to fraction form
67,470/147,846 = 147,846/x - Step 3: Cross multiply
67,470x = 147,846 × 147,846 - Step 4: Simplify right side
67,470x = 21,858,439,716 - Step 5: Solve for x
x = 21,858,439,716/67,470 - Step 6: Final answer
x = 323,972.72
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.