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Finding the Third Proportional to 189,929 and 405,279

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Solution

The third proportional to 189,929 and 405,279 is: 864,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,929 : 405,279 = 405,279 : x
  2. Step 2: Convert to fraction form
    189,929/405,279 = 405,279/x
  3. Step 3: Cross multiply
    189,929x = 405,279 × 405,279
  4. Step 4: Simplify right side
    189,929x = 164,251,067,841
  5. Step 5: Solve for x
    x = 164,251,067,841/189,929
  6. Step 6: Final answer
    x = 864,802.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.