Finding the Third Proportional to 560,132,344.13 and 822,038,154.19
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Solution
The third proportional to 560,132,344.13 and 822,038,154.19 is: 1,206,405,475.47
Step by Step Solution
- Step 1: Write the proportion equation
560,132,344.13 : 822,038,154.19 = 822,038,154.19 : x - Step 2: Convert to fraction form
560,132,344.13/822,038,154.19 = 822,038,154.19/x - Step 3: Cross multiply
560,132,344.13x = 822,038,154.19 × 822,038,154.19 - Step 4: Simplify right side
560,132,344.13x = 675,746,726,939,992,064 - Step 5: Solve for x
x = 675,746,726,939,992,064/560,132,344.13 - Step 6: Final answer
x = 1,206,405,475.47
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.