Finding the Third Proportional to 921,569 and 1,442,497
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Solution
The third proportional to 921,569 and 1,442,497 is: 2,257,885.84
Step by Step Solution
- Step 1: Write the proportion equation
921,569 : 1,442,497 = 1,442,497 : x - Step 2: Convert to fraction form
921,569/1,442,497 = 1,442,497/x - Step 3: Cross multiply
921,569x = 1,442,497 × 1,442,497 - Step 4: Simplify right side
921,569x = 2,080,797,595,009 - Step 5: Solve for x
x = 2,080,797,595,009/921,569 - Step 6: Final answer
x = 2,257,885.84
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.