Finding the Third Proportional to 312,455,346 and 680,457,576
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Solution
The third proportional to 312,455,346 and 680,457,576 is: 1,481,883,791.28
Step by Step Solution
- Step 1: Write the proportion equation
312,455,346 : 680,457,576 = 680,457,576 : x - Step 2: Convert to fraction form
312,455,346/680,457,576 = 680,457,576/x - Step 3: Cross multiply
312,455,346x = 680,457,576 × 680,457,576 - Step 4: Simplify right side
312,455,346x = 463,022,512,735,795,776 - Step 5: Solve for x
x = 463,022,512,735,795,776/312,455,346 - Step 6: Final answer
x = 1,481,883,791.28
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.