Finding the Third Proportional to 511,703,712 and 786,039,498.28
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Solution
The third proportional to 511,703,712 and 786,039,498.28 is: 1,207,452,825.47
Step by Step Solution
- Step 1: Write the proportion equation
511,703,712 : 786,039,498.28 = 786,039,498.28 : x - Step 2: Convert to fraction form
511,703,712/786,039,498.28 = 786,039,498.28/x - Step 3: Cross multiply
511,703,712x = 786,039,498.28 × 786,039,498.28 - Step 4: Simplify right side
511,703,712x = 617,858,092,858,239,232 - Step 5: Solve for x
x = 617,858,092,858,239,232/511,703,712 - Step 6: Final answer
x = 1,207,452,825.47
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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.