Finding the Third Proportional to 490,210,478 and 1,057,888,931
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Solution
The third proportional to 490,210,478 and 1,057,888,931 is: 2,282,956,078.17
Step by Step Solution
- Step 1: Write the proportion equation
490,210,478 : 1,057,888,931 = 1,057,888,931 : x - Step 2: Convert to fraction form
490,210,478/1,057,888,931 = 1,057,888,931/x - Step 3: Cross multiply
490,210,478x = 1,057,888,931 × 1,057,888,931 - Step 4: Simplify right side
490,210,478x = 1,119,128,990,332,322,816 - Step 5: Solve for x
x = 1,119,128,990,332,322,816/490,210,478 - Step 6: Final answer
x = 2,282,956,078.17
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.