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Finding the Third Proportional to 181,314 and 388,869

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Solution

The third proportional to 181,314 and 388,869 is: 834,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,314 : 388,869 = 388,869 : x
  2. Step 2: Convert to fraction form
    181,314/388,869 = 388,869/x
  3. Step 3: Cross multiply
    181,314x = 388,869 × 388,869
  4. Step 4: Simplify right side
    181,314x = 151,219,099,161
  5. Step 5: Solve for x
    x = 151,219,099,161/181,314
  6. Step 6: Final answer
    x = 834,017.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.