Finding the Third Proportional to 282,399 and 430,217
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Solution
The third proportional to 282,399 and 430,217 is: 655,408.37
Step by Step Solution
- Step 1: Write the proportion equation
282,399 : 430,217 = 430,217 : x - Step 2: Convert to fraction form
282,399/430,217 = 430,217/x - Step 3: Cross multiply
282,399x = 430,217 × 430,217 - Step 4: Simplify right side
282,399x = 185,086,667,089 - Step 5: Solve for x
x = 185,086,667,089/282,399 - Step 6: Final answer
x = 655,408.37
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.