Finding the Third Proportional to 22,326 and 31,215
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Solution
The third proportional to 22,326 and 31,215 is: 43,643.12
Step by Step Solution
- Step 1: Write the proportion equation
22,326 : 31,215 = 31,215 : x - Step 2: Convert to fraction form
22,326/31,215 = 31,215/x - Step 3: Cross multiply
22,326x = 31,215 × 31,215 - Step 4: Simplify right side
22,326x = 974,376,225 - Step 5: Solve for x
x = 974,376,225/22,326 - Step 6: Final answer
x = 43,643.12
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.