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Finding the Third Proportional to 12,163 and 18,331.50

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Solution

The third proportional to 12,163 and 18,331.50 is: 27,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163 : 18,331.50 = 18,331.50 : x
  2. Step 2: Convert to fraction form
    12,163/18,331.50 = 18,331.50/x
  3. Step 3: Cross multiply
    12,163x = 18,331.50 × 18,331.50
  4. Step 4: Simplify right side
    12,163x = 336,043,892.25
  5. Step 5: Solve for x
    x = 336,043,892.25/12,163
  6. Step 6: Final answer
    x = 27,628.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.