Finding the Third Proportional to 47,578 and 74,090
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Solution
The third proportional to 47,578 and 74,090 is: 115,375.34
Step by Step Solution
- Step 1: Write the proportion equation
47,578 : 74,090 = 74,090 : x - Step 2: Convert to fraction form
47,578/74,090 = 74,090/x - Step 3: Cross multiply
47,578x = 74,090 × 74,090 - Step 4: Simplify right side
47,578x = 5,489,328,100 - Step 5: Solve for x
x = 5,489,328,100/47,578 - Step 6: Final answer
x = 115,375.34
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.