Finding the Third Proportional to 75,438.84 and 105,720.19
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Solution
The third proportional to 75,438.84 and 105,720.19 is: 148,156.54
Step by Step Solution
- Step 1: Write the proportion equation
75,438.84 : 105,720.19 = 105,720.19 : x - Step 2: Convert to fraction form
75,438.84/105,720.19 = 105,720.19/x - Step 3: Cross multiply
75,438.84x = 105,720.19 × 105,720.19 - Step 4: Simplify right side
75,438.84x = 11,176,758,045.04 - Step 5: Solve for x
x = 11,176,758,045.04/75,438.84 - Step 6: Final answer
x = 148,156.54
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.