Finding the Third Proportional to 109,804 and 229,140
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Solution
The third proportional to 109,804 and 229,140 is: 478,171.47
Step by Step Solution
- Step 1: Write the proportion equation
109,804 : 229,140 = 229,140 : x - Step 2: Convert to fraction form
109,804/229,140 = 229,140/x - Step 3: Cross multiply
109,804x = 229,140 × 229,140 - Step 4: Simplify right side
109,804x = 52,505,139,600 - Step 5: Solve for x
x = 52,505,139,600/109,804 - Step 6: Final answer
x = 478,171.47
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.