Finding the Third Proportional to 81,521.95 and 107,200.97
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Solution
The third proportional to 81,521.95 and 107,200.97 is: 140,968.75
Step by Step Solution
- Step 1: Write the proportion equation
81,521.95 : 107,200.97 = 107,200.97 : x - Step 2: Convert to fraction form
81,521.95/107,200.97 = 107,200.97/x - Step 3: Cross multiply
81,521.95x = 107,200.97 × 107,200.97 - Step 4: Simplify right side
81,521.95x = 11,492,047,700.94 - Step 5: Solve for x
x = 11,492,047,700.94/81,521.95 - Step 6: Final answer
x = 140,968.75
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.