Finding the Third Proportional to 470,983.50 and 683,493.75
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Solution
The third proportional to 470,983.50 and 683,493.75 is: 991,889.75
Step by Step Solution
- Step 1: Write the proportion equation
470,983.50 : 683,493.75 = 683,493.75 : x - Step 2: Convert to fraction form
470,983.50/683,493.75 = 683,493.75/x - Step 3: Cross multiply
470,983.50x = 683,493.75 × 683,493.75 - Step 4: Simplify right side
470,983.50x = 467,163,706,289.06 - Step 5: Solve for x
x = 467,163,706,289.06/470,983.50 - Step 6: Final answer
x = 991,889.75
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.