Finding the Third Proportional to 298,946 and 642,268
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Solution
The third proportional to 298,946 and 642,268 is: 1,379,875.24
Step by Step Solution
- Step 1: Write the proportion equation
298,946 : 642,268 = 642,268 : x - Step 2: Convert to fraction form
298,946/642,268 = 642,268/x - Step 3: Cross multiply
298,946x = 642,268 × 642,268 - Step 4: Simplify right side
298,946x = 412,508,183,824 - Step 5: Solve for x
x = 412,508,183,824/298,946 - Step 6: Final answer
x = 1,379,875.24
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.