Finding the Third Proportional to 20,823.19 and 29,677.22
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Solution
The third proportional to 20,823.19 and 29,677.22 is: 42,295.99
Step by Step Solution
- Step 1: Write the proportion equation
20,823.19 : 29,677.22 = 29,677.22 : x - Step 2: Convert to fraction form
20,823.19/29,677.22 = 29,677.22/x - Step 3: Cross multiply
20,823.19x = 29,677.22 × 29,677.22 - Step 4: Simplify right side
20,823.19x = 880,737,312.74 - Step 5: Solve for x
x = 880,737,312.74/20,823.19 - Step 6: Final answer
x = 42,295.99
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.