Finding the Third Proportional to 258,214 and 559,310
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Solution
The third proportional to 258,214 and 559,310 is: 1,211,505.48
Step by Step Solution
- Step 1: Write the proportion equation
258,214 : 559,310 = 559,310 : x - Step 2: Convert to fraction form
258,214/559,310 = 559,310/x - Step 3: Cross multiply
258,214x = 559,310 × 559,310 - Step 4: Simplify right side
258,214x = 312,827,676,100 - Step 5: Solve for x
x = 312,827,676,100/258,214 - Step 6: Final answer
x = 1,211,505.48
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.