Finding the Third Proportional to 9,718 and 21,402.50
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Solution
The third proportional to 9,718 and 21,402.50 is: 47,135.93
Step by Step Solution
- Step 1: Write the proportion equation
9,718 : 21,402.50 = 21,402.50 : x - Step 2: Convert to fraction form
9,718/21,402.50 = 21,402.50/x - Step 3: Cross multiply
9,718x = 21,402.50 × 21,402.50 - Step 4: Simplify right side
9,718x = 458,067,006.25 - Step 5: Solve for x
x = 458,067,006.25/9,718 - Step 6: Final answer
x = 47,135.93
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.