Finding the Third Proportional to 23,470 and 31,885
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Solution
The third proportional to 23,470 and 31,885 is: 43,317.14
Step by Step Solution
- Step 1: Write the proportion equation
23,470 : 31,885 = 31,885 : x - Step 2: Convert to fraction form
23,470/31,885 = 31,885/x - Step 3: Cross multiply
23,470x = 31,885 × 31,885 - Step 4: Simplify right side
23,470x = 1,016,653,225 - Step 5: Solve for x
x = 1,016,653,225/23,470 - Step 6: Final answer
x = 43,317.14
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.