Finding the Third Proportional to 1,973 and 2,207
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Solution
The third proportional to 1,973 and 2,207 is: 2,468.75
Step by Step Solution
- Step 1: Write the proportion equation
1,973 : 2,207 = 2,207 : x - Step 2: Convert to fraction form
1,973/2,207 = 2,207/x - Step 3: Cross multiply
1,973x = 2,207 × 2,207 - Step 4: Simplify right side
1,973x = 4,870,849 - Step 5: Solve for x
x = 4,870,849/1,973 - Step 6: Final answer
x = 2,468.75
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.