Finding the Third Proportional to 14,478 and 31,617
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Solution
The third proportional to 14,478 and 31,617 is: 69,045.08
Step by Step Solution
- Step 1: Write the proportion equation
14,478 : 31,617 = 31,617 : x - Step 2: Convert to fraction form
14,478/31,617 = 31,617/x - Step 3: Cross multiply
14,478x = 31,617 × 31,617 - Step 4: Simplify right side
14,478x = 999,634,689 - Step 5: Solve for x
x = 999,634,689/14,478 - Step 6: Final answer
x = 69,045.08
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.