Finding the Third Proportional to 98,582 and 209,469
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Solution
The third proportional to 98,582 and 209,469 is: 445,083.91
Step by Step Solution
- Step 1: Write the proportion equation
98,582 : 209,469 = 209,469 : x - Step 2: Convert to fraction form
98,582/209,469 = 209,469/x - Step 3: Cross multiply
98,582x = 209,469 × 209,469 - Step 4: Simplify right side
98,582x = 43,877,261,961 - Step 5: Solve for x
x = 43,877,261,961/98,582 - Step 6: Final answer
x = 445,083.91
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.