Finding the Third Proportional to 546 and 987
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Solution
The third proportional to 546 and 987 is: 1,784.19
Step by Step Solution
- Step 1: Write the proportion equation
546 : 987 = 987 : x - Step 2: Convert to fraction form
546/987 = 987/x - Step 3: Cross multiply
546x = 987 × 987 - Step 4: Simplify right side
546x = 974,169 - Step 5: Solve for x
x = 974,169/546 - Step 6: Final answer
x = 1,784.19
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Why These Related Problems?
These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.