Finding the Third Proportional to 430,647 and 661,038
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Solution
The third proportional to 430,647 and 661,038 is: 1,014,685.43
Step by Step Solution
- Step 1: Write the proportion equation
430,647 : 661,038 = 661,038 : x - Step 2: Convert to fraction form
430,647/661,038 = 661,038/x - Step 3: Cross multiply
430,647x = 661,038 × 661,038 - Step 4: Simplify right side
430,647x = 436,971,237,444 - Step 5: Solve for x
x = 436,971,237,444/430,647 - Step 6: Final answer
x = 1,014,685.43
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.