Finding the Third Proportional to 21,094 and 31,316
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Solution
The third proportional to 21,094 and 31,316 is: 46,491.51
Step by Step Solution
- Step 1: Write the proportion equation
21,094 : 31,316 = 31,316 : x - Step 2: Convert to fraction form
21,094/31,316 = 31,316/x - Step 3: Cross multiply
21,094x = 31,316 × 31,316 - Step 4: Simplify right side
21,094x = 980,691,856 - Step 5: Solve for x
x = 980,691,856/21,094 - Step 6: Final answer
x = 46,491.51
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.