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Finding the Third Proportional to 11,973 and 18,285

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Solution

The third proportional to 11,973 and 18,285 is: 27,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973 : 18,285 = 18,285 : x
  2. Step 2: Convert to fraction form
    11,973/18,285 = 18,285/x
  3. Step 3: Cross multiply
    11,973x = 18,285 × 18,285
  4. Step 4: Simplify right side
    11,973x = 334,341,225
  5. Step 5: Solve for x
    x = 334,341,225/11,973
  6. Step 6: Final answer
    x = 27,924.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.