Finding the Third Proportional to 462,968,340,168 and 996,875,550,780
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Solution
The third proportional to 462,968,340,168 and 996,875,550,780 is: 2,146,498,534,613.22
Step by Step Solution
- Step 1: Write the proportion equation
462,968,340,168 : 996,875,550,780 = 996,875,550,780 : x - Step 2: Convert to fraction form
462,968,340,168/996,875,550,780 = 996,875,550,780/x - Step 3: Cross multiply
462,968,340,168x = 996,875,550,780 × 996,875,550,780 - Step 4: Simplify right side
462,968,340,168x = 993,760,863,742,928,332,259,328 - Step 5: Solve for x
x = 993,760,863,742,928,332,259,328/462,968,340,168 - Step 6: Final answer
x = 2,146,498,534,613.22
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.