Finding the Third Proportional to 983 and 2,094.50
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Solution
The third proportional to 983 and 2,094.50 is: 4,462.80
Step by Step Solution
- Step 1: Write the proportion equation
983 : 2,094.50 = 2,094.50 : x - Step 2: Convert to fraction form
983/2,094.50 = 2,094.50/x - Step 3: Cross multiply
983x = 2,094.50 × 2,094.50 - Step 4: Simplify right side
983x = 4,386,930.25 - Step 5: Solve for x
x = 4,386,930.25/983 - Step 6: Final answer
x = 4,462.80
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.