Finding the Third Proportional to 442 and 862
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Solution
The third proportional to 442 and 862 is: 1,681.10
Step by Step Solution
- Step 1: Write the proportion equation
442 : 862 = 862 : x - Step 2: Convert to fraction form
442/862 = 862/x - Step 3: Cross multiply
442x = 862 × 862 - Step 4: Simplify right side
442x = 743,044 - Step 5: Solve for x
x = 743,044/442 - Step 6: Final answer
x = 1,681.10
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.