Finding the Third Proportional to 301,857 and 408,498
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Solution
The third proportional to 301,857 and 408,498 is: 552,813.47
Step by Step Solution
- Step 1: Write the proportion equation
301,857 : 408,498 = 408,498 : x - Step 2: Convert to fraction form
301,857/408,498 = 408,498/x - Step 3: Cross multiply
301,857x = 408,498 × 408,498 - Step 4: Simplify right side
301,857x = 166,870,616,004 - Step 5: Solve for x
x = 166,870,616,004/301,857 - Step 6: Final answer
x = 552,813.47
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.