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Finding the Third Proportional to 189,926 and 405,273

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Solution

The third proportional to 189,926 and 405,273 is: 864,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,926 : 405,273 = 405,273 : x
  2. Step 2: Convert to fraction form
    189,926/405,273 = 405,273/x
  3. Step 3: Cross multiply
    189,926x = 405,273 × 405,273
  4. Step 4: Simplify right side
    189,926x = 164,246,204,529
  5. Step 5: Solve for x
    x = 164,246,204,529/189,926
  6. Step 6: Final answer
    x = 864,790.52

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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.