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Finding the Third Proportional to 180,930 and 395,393

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Solution

The third proportional to 180,930 and 395,393 is: 864,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,930 : 395,393 = 395,393 : x
  2. Step 2: Convert to fraction form
    180,930/395,393 = 395,393/x
  3. Step 3: Cross multiply
    180,930x = 395,393 × 395,393
  4. Step 4: Simplify right side
    180,930x = 156,335,624,449
  5. Step 5: Solve for x
    x = 156,335,624,449/180,930
  6. Step 6: Final answer
    x = 864,066.90

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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.