Finding the Third Proportional to 432,304 and 646,728
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Solution
The third proportional to 432,304 and 646,728 is: 967,506.91
Step by Step Solution
- Step 1: Write the proportion equation
432,304 : 646,728 = 646,728 : x - Step 2: Convert to fraction form
432,304/646,728 = 646,728/x - Step 3: Cross multiply
432,304x = 646,728 × 646,728 - Step 4: Simplify right side
432,304x = 418,257,105,984 - Step 5: Solve for x
x = 418,257,105,984/432,304 - Step 6: Final answer
x = 967,506.91
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.