Finding the Third Proportional to 306,838 and 634,978
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Solution
The third proportional to 306,838 and 634,978 is: 1,314,038.88
Step by Step Solution
- Step 1: Write the proportion equation
306,838 : 634,978 = 634,978 : x - Step 2: Convert to fraction form
306,838/634,978 = 634,978/x - Step 3: Cross multiply
306,838x = 634,978 × 634,978 - Step 4: Simplify right side
306,838x = 403,197,060,484 - Step 5: Solve for x
x = 403,197,060,484/306,838 - Step 6: Final answer
x = 1,314,038.88
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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.