Finding the Third Proportional to 34,102 and 72,943
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Solution
The third proportional to 34,102 and 72,943 is: 156,022.56
Step by Step Solution
- Step 1: Write the proportion equation
34,102 : 72,943 = 72,943 : x - Step 2: Convert to fraction form
34,102/72,943 = 72,943/x - Step 3: Cross multiply
34,102x = 72,943 × 72,943 - Step 4: Simplify right side
34,102x = 5,320,681,249 - Step 5: Solve for x
x = 5,320,681,249/34,102 - Step 6: Final answer
x = 156,022.56
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.