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Finding the Third Proportional to 181,380 and 397,768

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Solution

The third proportional to 181,380 and 397,768 is: 872,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,380 : 397,768 = 397,768 : x
  2. Step 2: Convert to fraction form
    181,380/397,768 = 397,768/x
  3. Step 3: Cross multiply
    181,380x = 397,768 × 397,768
  4. Step 4: Simplify right side
    181,380x = 158,219,381,824
  5. Step 5: Solve for x
    x = 158,219,381,824/181,380
  6. Step 6: Final answer
    x = 872,308.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.