Finding the Third Proportional to 232,256 and 339,421
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Solution
The third proportional to 232,256 and 339,421 is: 496,032.89
Step by Step Solution
- Step 1: Write the proportion equation
232,256 : 339,421 = 339,421 : x - Step 2: Convert to fraction form
232,256/339,421 = 339,421/x - Step 3: Cross multiply
232,256x = 339,421 × 339,421 - Step 4: Simplify right side
232,256x = 115,206,615,241 - Step 5: Solve for x
x = 115,206,615,241/232,256 - Step 6: Final answer
x = 496,032.89
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.