Finding the Third Proportional to 38,543,838 and 83,438,643
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Solution
The third proportional to 38,543,838 and 83,438,643 is: 180,625,685.11
Step by Step Solution
- Step 1: Write the proportion equation
38,543,838 : 83,438,643 = 83,438,643 : x - Step 2: Convert to fraction form
38,543,838/83,438,643 = 83,438,643/x - Step 3: Cross multiply
38,543,838x = 83,438,643 × 83,438,643 - Step 4: Simplify right side
38,543,838x = 6,962,007,145,681,449 - Step 5: Solve for x
x = 6,962,007,145,681,449/38,543,838 - Step 6: Final answer
x = 180,625,685.11
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.