Finding the Third Proportional to 142,078.50 and 310,914
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Solution
The third proportional to 142,078.50 and 310,914 is: 680,381.02
Step by Step Solution
- Step 1: Write the proportion equation
142,078.50 : 310,914 = 310,914 : x - Step 2: Convert to fraction form
142,078.50/310,914 = 310,914/x - Step 3: Cross multiply
142,078.50x = 310,914 × 310,914 - Step 4: Simplify right side
142,078.50x = 96,667,515,396 - Step 5: Solve for x
x = 96,667,515,396/142,078.50 - Step 6: Final answer
x = 680,381.02
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.