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Finding the Third Proportional to 181,780 and 388,832

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Solution

The third proportional to 181,780 and 388,832 is: 831,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,780 : 388,832 = 388,832 : x
  2. Step 2: Convert to fraction form
    181,780/388,832 = 388,832/x
  3. Step 3: Cross multiply
    181,780x = 388,832 × 388,832
  4. Step 4: Simplify right side
    181,780x = 151,190,324,224
  5. Step 5: Solve for x
    x = 151,190,324,224/181,780
  6. Step 6: Final answer
    x = 831,721.44

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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.