Finding the Third Proportional to 78,238 and 117,730
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Solution
The third proportional to 78,238 and 117,730 is: 177,156.28
Step by Step Solution
- Step 1: Write the proportion equation
78,238 : 117,730 = 117,730 : x - Step 2: Convert to fraction form
78,238/117,730 = 117,730/x - Step 3: Cross multiply
78,238x = 117,730 × 117,730 - Step 4: Simplify right side
78,238x = 13,860,352,900 - Step 5: Solve for x
x = 13,860,352,900/78,238 - Step 6: Final answer
x = 177,156.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.