Finding the Third Proportional to 728,457 and 1,102,845
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Solution
The third proportional to 728,457 and 1,102,845 is: 1,669,648.44
Step by Step Solution
- Step 1: Write the proportion equation
728,457 : 1,102,845 = 1,102,845 : x - Step 2: Convert to fraction form
728,457/1,102,845 = 1,102,845/x - Step 3: Cross multiply
728,457x = 1,102,845 × 1,102,845 - Step 4: Simplify right side
728,457x = 1,216,267,094,025 - Step 5: Solve for x
x = 1,216,267,094,025/728,457 - Step 6: Final answer
x = 1,669,648.44
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.