Finding the Third Proportional to 390,718 and 829,398
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Solution
The third proportional to 390,718 and 829,398 is: 1,760,607.50
Step by Step Solution
- Step 1: Write the proportion equation
390,718 : 829,398 = 829,398 : x - Step 2: Convert to fraction form
390,718/829,398 = 829,398/x - Step 3: Cross multiply
390,718x = 829,398 × 829,398 - Step 4: Simplify right side
390,718x = 687,901,042,404 - Step 5: Solve for x
x = 687,901,042,404/390,718 - Step 6: Final answer
x = 1,760,607.50
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.