Finding the Third Proportional to 122,129,200 and 263,389,784
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Solution
The third proportional to 122,129,200 and 263,389,784 is: 568,039,242.99
Step by Step Solution
- Step 1: Write the proportion equation
122,129,200 : 263,389,784 = 263,389,784 : x - Step 2: Convert to fraction form
122,129,200/263,389,784 = 263,389,784/x - Step 3: Cross multiply
122,129,200x = 263,389,784 × 263,389,784 - Step 4: Simplify right side
122,129,200x = 69,374,178,315,566,656 - Step 5: Solve for x
x = 69,374,178,315,566,656/122,129,200 - Step 6: Final answer
x = 568,039,242.99
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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.