Finding the Third Proportional to 196,742,620.13 and 420,725,742.75
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Solution
The third proportional to 196,742,620.13 and 420,725,742.75 is: 899,704,143.92
Step by Step Solution
- Step 1: Write the proportion equation
196,742,620.13 : 420,725,742.75 = 420,725,742.75 : x - Step 2: Convert to fraction form
196,742,620.13/420,725,742.75 = 420,725,742.75/x - Step 3: Cross multiply
196,742,620.13x = 420,725,742.75 × 420,725,742.75 - Step 4: Simplify right side
196,742,620.13x = 177,010,150,612,539,168 - Step 5: Solve for x
x = 177,010,150,612,539,168/196,742,620.13 - Step 6: Final answer
x = 899,704,143.92
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.