Finding the Third Proportional to 235,670 and 509,012
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Solution
The third proportional to 235,670 and 509,012 is: 1,099,389.89
Step by Step Solution
- Step 1: Write the proportion equation
235,670 : 509,012 = 509,012 : x - Step 2: Convert to fraction form
235,670/509,012 = 509,012/x - Step 3: Cross multiply
235,670x = 509,012 × 509,012 - Step 4: Simplify right side
235,670x = 259,093,216,144 - Step 5: Solve for x
x = 259,093,216,144/235,670 - Step 6: Final answer
x = 1,099,389.89
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.