Finding the Third Proportional to 101,383,140 and 208,140,960
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Solution
The third proportional to 101,383,140 and 208,140,960 is: 427,316,210.86
Step by Step Solution
- Step 1: Write the proportion equation
101,383,140 : 208,140,960 = 208,140,960 : x - Step 2: Convert to fraction form
101,383,140/208,140,960 = 208,140,960/x - Step 3: Cross multiply
101,383,140x = 208,140,960 × 208,140,960 - Step 4: Simplify right side
101,383,140x = 43,322,659,229,721,600 - Step 5: Solve for x
x = 43,322,659,229,721,600/101,383,140 - Step 6: Final answer
x = 427,316,210.86
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.