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Finding the Third Proportional to 189,970 and 405,366

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Solution

The third proportional to 189,970 and 405,366 is: 864,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,970 : 405,366 = 405,366 : x
  2. Step 2: Convert to fraction form
    189,970/405,366 = 405,366/x
  3. Step 3: Cross multiply
    189,970x = 405,366 × 405,366
  4. Step 4: Simplify right side
    189,970x = 164,321,593,956
  5. Step 5: Solve for x
    x = 164,321,593,956/189,970
  6. Step 6: Final answer
    x = 864,987.07

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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.