Finding the Third Proportional to 312,455,350 and 680,457,584
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Solution
The third proportional to 312,455,350 and 680,457,584 is: 1,481,883,807.15
Step by Step Solution
- Step 1: Write the proportion equation
312,455,350 : 680,457,584 = 680,457,584 : x - Step 2: Convert to fraction form
312,455,350/680,457,584 = 680,457,584/x - Step 3: Cross multiply
312,455,350x = 680,457,584 × 680,457,584 - Step 4: Simplify right side
312,455,350x = 463,022,523,623,117,056 - Step 5: Solve for x
x = 463,022,523,623,117,056/312,455,350 - Step 6: Final answer
x = 1,481,883,807.15
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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.