Finding the Third Proportional to 212,402.25 and 296,971.31
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Solution
The third proportional to 212,402.25 and 296,971.31 is: 415,211.99
Step by Step Solution
- Step 1: Write the proportion equation
212,402.25 : 296,971.31 = 296,971.31 : x - Step 2: Convert to fraction form
212,402.25/296,971.31 = 296,971.31/x - Step 3: Cross multiply
212,402.25x = 296,971.31 × 296,971.31 - Step 4: Simplify right side
212,402.25x = 88,191,960,447.97 - Step 5: Solve for x
x = 88,191,960,447.97/212,402.25 - Step 6: Final answer
x = 415,211.99
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.