Finding the Third Proportional to 511,748,720 and 786,102,135
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Solution
The third proportional to 511,748,720 and 786,102,135 is: 1,207,539,056.77
Step by Step Solution
- Step 1: Write the proportion equation
511,748,720 : 786,102,135 = 786,102,135 : x - Step 2: Convert to fraction form
511,748,720/786,102,135 = 786,102,135/x - Step 3: Cross multiply
511,748,720x = 786,102,135 × 786,102,135 - Step 4: Simplify right side
511,748,720x = 617,956,566,651,558,272 - Step 5: Solve for x
x = 617,956,566,651,558,272/511,748,720 - Step 6: Final answer
x = 1,207,539,056.77
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.