Finding the Third Proportional to 326,982 and 698,316
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Solution
The third proportional to 326,982 and 698,316 is: 1,491,351.93
Step by Step Solution
- Step 1: Write the proportion equation
326,982 : 698,316 = 698,316 : x - Step 2: Convert to fraction form
326,982/698,316 = 698,316/x - Step 3: Cross multiply
326,982x = 698,316 × 698,316 - Step 4: Simplify right side
326,982x = 487,645,235,856 - Step 5: Solve for x
x = 487,645,235,856/326,982 - Step 6: Final answer
x = 1,491,351.93
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.