Finding the Third Proportional to 311,996.25 and 463,407.75
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Solution
The third proportional to 311,996.25 and 463,407.75 is: 688,299.12
Step by Step Solution
- Step 1: Write the proportion equation
311,996.25 : 463,407.75 = 463,407.75 : x - Step 2: Convert to fraction form
311,996.25/463,407.75 = 463,407.75/x - Step 3: Cross multiply
311,996.25x = 463,407.75 × 463,407.75 - Step 4: Simplify right side
311,996.25x = 214,746,742,760.06 - Step 5: Solve for x
x = 214,746,742,760.06/311,996.25 - Step 6: Final answer
x = 688,299.12
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.