Finding the Third Proportional to 53,400 and 71,316
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Solution
The third proportional to 53,400 and 71,316 is: 95,242.92
Step by Step Solution
- Step 1: Write the proportion equation
53,400 : 71,316 = 71,316 : x - Step 2: Convert to fraction form
53,400/71,316 = 71,316/x - Step 3: Cross multiply
53,400x = 71,316 × 71,316 - Step 4: Simplify right side
53,400x = 5,085,971,856 - Step 5: Solve for x
x = 5,085,971,856/53,400 - Step 6: Final answer
x = 95,242.92
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.