Finding the Third Proportional to 1,117 and 1,973
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Solution
The third proportional to 1,117 and 1,973 is: 3,484.99
Step by Step Solution
- Step 1: Write the proportion equation
1,117 : 1,973 = 1,973 : x - Step 2: Convert to fraction form
1,117/1,973 = 1,973/x - Step 3: Cross multiply
1,117x = 1,973 × 1,973 - Step 4: Simplify right side
1,117x = 3,892,729 - Step 5: Solve for x
x = 3,892,729/1,117 - Step 6: Final answer
x = 3,484.99
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Why These Related Problems?
These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.