Finding the Third Proportional to 305,426 and 458,715
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Solution
The third proportional to 305,426 and 458,715 is: 688,937.59
Step by Step Solution
- Step 1: Write the proportion equation
305,426 : 458,715 = 458,715 : x - Step 2: Convert to fraction form
305,426/458,715 = 458,715/x - Step 3: Cross multiply
305,426x = 458,715 × 458,715 - Step 4: Simplify right side
305,426x = 210,419,451,225 - Step 5: Solve for x
x = 210,419,451,225/305,426 - Step 6: Final answer
x = 688,937.59
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.