Finding the Third Proportional to 320,420,676 and 657,827,680
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Solution
The third proportional to 320,420,676 and 657,827,680 is: 1,350,528,505.14
Step by Step Solution
- Step 1: Write the proportion equation
320,420,676 : 657,827,680 = 657,827,680 : x - Step 2: Convert to fraction form
320,420,676/657,827,680 = 657,827,680/x - Step 3: Cross multiply
320,420,676x = 657,827,680 × 657,827,680 - Step 4: Simplify right side
320,420,676x = 432,737,256,574,182,400 - Step 5: Solve for x
x = 432,737,256,574,182,400/320,420,676 - Step 6: Final answer
x = 1,350,528,505.14
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.