Finding the Third Proportional to 75,642.38 and 102,780.75
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Solution
The third proportional to 75,642.38 and 102,780.75 is: 139,655.62
Step by Step Solution
- Step 1: Write the proportion equation
75,642.38 : 102,780.75 = 102,780.75 : x - Step 2: Convert to fraction form
75,642.38/102,780.75 = 102,780.75/x - Step 3: Cross multiply
75,642.38x = 102,780.75 × 102,780.75 - Step 4: Simplify right side
75,642.38x = 10,563,882,570.56 - Step 5: Solve for x
x = 10,563,882,570.56/75,642.38 - Step 6: Final answer
x = 139,655.62
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.