Finding the Third Proportional to 7,830.75 and 13,800.75
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Solution
The third proportional to 7,830.75 and 13,800.75 is: 24,322.15
Step by Step Solution
- Step 1: Write the proportion equation
7,830.75 : 13,800.75 = 13,800.75 : x - Step 2: Convert to fraction form
7,830.75/13,800.75 = 13,800.75/x - Step 3: Cross multiply
7,830.75x = 13,800.75 × 13,800.75 - Step 4: Simplify right side
7,830.75x = 190,460,700.56 - Step 5: Solve for x
x = 190,460,700.56/7,830.75 - Step 6: Final answer
x = 24,322.15
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.