Finding the Third Proportional to 419,012,460 and 987,728,971.50
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Solution
The third proportional to 419,012,460 and 987,728,971.50 is: 2,328,352,052.20
Step by Step Solution
- Step 1: Write the proportion equation
419,012,460 : 987,728,971.50 = 987,728,971.50 : x - Step 2: Convert to fraction form
419,012,460/987,728,971.50 = 987,728,971.50/x - Step 3: Cross multiply
419,012,460x = 987,728,971.50 × 987,728,971.50 - Step 4: Simplify right side
419,012,460x = 975,608,521,140,447,872 - Step 5: Solve for x
x = 975,608,521,140,447,872/419,012,460 - Step 6: Final answer
x = 2,328,352,052.20
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.