Finding the Third Proportional to 196,742,337.75 and 420,725,193.19
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Solution
The third proportional to 196,742,337.75 and 420,725,193.19 is: 899,703,084.79
Step by Step Solution
- Step 1: Write the proportion equation
196,742,337.75 : 420,725,193.19 = 420,725,193.19 : x - Step 2: Convert to fraction form
196,742,337.75/420,725,193.19 = 420,725,193.19/x - Step 3: Cross multiply
196,742,337.75x = 420,725,193.19 × 420,725,193.19 - Step 4: Simplify right side
196,742,337.75x = 177,009,688,182,659,200 - Step 5: Solve for x
x = 177,009,688,182,659,200/196,742,337.75 - Step 6: Final answer
x = 899,703,084.79
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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.