Finding the Third Proportional to 649,307 and 1,409,508
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Solution
The third proportional to 649,307 and 1,409,508 is: 3,059,743.39
Step by Step Solution
- Step 1: Write the proportion equation
649,307 : 1,409,508 = 1,409,508 : x - Step 2: Convert to fraction form
649,307/1,409,508 = 1,409,508/x - Step 3: Cross multiply
649,307x = 1,409,508 × 1,409,508 - Step 4: Simplify right side
649,307x = 1,986,712,802,064 - Step 5: Solve for x
x = 1,986,712,802,064/649,307 - Step 6: Final answer
x = 3,059,743.39
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.