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Finding the Third Proportional to 185,649 and 381,135

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Solution

The third proportional to 185,649 and 381,135 is: 782,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,649 : 381,135 = 381,135 : x
  2. Step 2: Convert to fraction form
    185,649/381,135 = 381,135/x
  3. Step 3: Cross multiply
    185,649x = 381,135 × 381,135
  4. Step 4: Simplify right side
    185,649x = 145,263,888,225
  5. Step 5: Solve for x
    x = 145,263,888,225/185,649
  6. Step 6: Final answer
    x = 782,465.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.