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Finding the Third Proportional to 200,611 and 311,628.75

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Solution

The third proportional to 200,611 and 311,628.75 is: 484,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,611 : 311,628.75 = 311,628.75 : x
  2. Step 2: Convert to fraction form
    200,611/311,628.75 = 311,628.75/x
  3. Step 3: Cross multiply
    200,611x = 311,628.75 × 311,628.75
  4. Step 4: Simplify right side
    200,611x = 97,112,477,826.56
  5. Step 5: Solve for x
    x = 97,112,477,826.56/200,611
  6. Step 6: Final answer
    x = 484,083.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.