Finding the Third Proportional to 821 and 1,907
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Solution
The third proportional to 821 and 1,907 is: 4,429.54
Step by Step Solution
- Step 1: Write the proportion equation
821 : 1,907 = 1,907 : x - Step 2: Convert to fraction form
821/1,907 = 1,907/x - Step 3: Cross multiply
821x = 1,907 × 1,907 - Step 4: Simplify right side
821x = 3,636,649 - Step 5: Solve for x
x = 3,636,649/821 - Step 6: Final answer
x = 4,429.54
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.