Finding the Third Proportional to 205,522 and 307,443
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Solution
The third proportional to 205,522 and 307,443 is: 459,907.93
Step by Step Solution
- Step 1: Write the proportion equation
205,522 : 307,443 = 307,443 : x - Step 2: Convert to fraction form
205,522/307,443 = 307,443/x - Step 3: Cross multiply
205,522x = 307,443 × 307,443 - Step 4: Simplify right side
205,522x = 94,521,198,249 - Step 5: Solve for x
x = 94,521,198,249/205,522 - Step 6: Final answer
x = 459,907.93
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.