Finding the Third Proportional to 478,361,653.75 and 748,766,639.75
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Solution
The third proportional to 478,361,653.75 and 748,766,639.75 is: 1,172,024,296.70
Step by Step Solution
- Step 1: Write the proportion equation
478,361,653.75 : 748,766,639.75 = 748,766,639.75 : x - Step 2: Convert to fraction form
478,361,653.75/748,766,639.75 = 748,766,639.75/x - Step 3: Cross multiply
478,361,653.75x = 748,766,639.75 × 748,766,639.75 - Step 4: Simplify right side
478,361,653.75x = 560,651,480,802,506,304 - Step 5: Solve for x
x = 560,651,480,802,506,304/478,361,653.75 - Step 6: Final answer
x = 1,172,024,296.70
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.