Finding the Third Proportional to 829,906 and 1,317,443
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Solution
The third proportional to 829,906 and 1,317,443 is: 2,091,388.73
Step by Step Solution
- Step 1: Write the proportion equation
829,906 : 1,317,443 = 1,317,443 : x - Step 2: Convert to fraction form
829,906/1,317,443 = 1,317,443/x - Step 3: Cross multiply
829,906x = 1,317,443 × 1,317,443 - Step 4: Simplify right side
829,906x = 1,735,656,058,249 - Step 5: Solve for x
x = 1,735,656,058,249/829,906 - Step 6: Final answer
x = 2,091,388.73
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.