Finding the Third Proportional to 5,138 and 7,272
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Solution
The third proportional to 5,138 and 7,272 is: 10,292.33
Step by Step Solution
- Step 1: Write the proportion equation
5,138 : 7,272 = 7,272 : x - Step 2: Convert to fraction form
5,138/7,272 = 7,272/x - Step 3: Cross multiply
5,138x = 7,272 × 7,272 - Step 4: Simplify right side
5,138x = 52,881,984 - Step 5: Solve for x
x = 52,881,984/5,138 - Step 6: Final answer
x = 10,292.33
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.