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Finding the Third Proportional to 188,811 and 303,871.50

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Solution

The third proportional to 188,811 and 303,871.50 is: 489,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,811 : 303,871.50 = 303,871.50 : x
  2. Step 2: Convert to fraction form
    188,811/303,871.50 = 303,871.50/x
  3. Step 3: Cross multiply
    188,811x = 303,871.50 × 303,871.50
  4. Step 4: Simplify right side
    188,811x = 92,337,888,512.25
  5. Step 5: Solve for x
    x = 92,337,888,512.25/188,811
  6. Step 6: Final answer
    x = 489,049.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.