Finding the Third Proportional to 306,484,728 and 680,993,904
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Solution
The third proportional to 306,484,728 and 680,993,904 is: 1,513,134,766.33
Step by Step Solution
- Step 1: Write the proportion equation
306,484,728 : 680,993,904 = 680,993,904 : x - Step 2: Convert to fraction form
306,484,728/680,993,904 = 680,993,904/x - Step 3: Cross multiply
306,484,728x = 680,993,904 × 680,993,904 - Step 4: Simplify right side
306,484,728x = 463,752,697,285,161,216 - Step 5: Solve for x
x = 463,752,697,285,161,216/306,484,728 - Step 6: Final answer
x = 1,513,134,766.33
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.