Finding the Third Proportional to 421,989,101,311.25 and 569,362,378,405.75
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Solution
The third proportional to 421,989,101,311.25 and 569,362,378,405.75 is: 768,203,531,647.02
Step by Step Solution
- Step 1: Write the proportion equation
421,989,101,311.25 : 569,362,378,405.75 = 569,362,378,405.75 : x - Step 2: Convert to fraction form
421,989,101,311.25/569,362,378,405.75 = 569,362,378,405.75/x - Step 3: Cross multiply
421,989,101,311.25x = 569,362,378,405.75 × 569,362,378,405.75 - Step 4: Simplify right side
421,989,101,311.25x = 324,173,517,943,852,450,709,504 - Step 5: Solve for x
x = 324,173,517,943,852,450,709,504/421,989,101,311.25 - Step 6: Final answer
x = 768,203,531,647.02
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.