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Finding the Third Proportional to 11,985 and 18,313.50

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Solution

The third proportional to 11,985 and 18,313.50 is: 27,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985 : 18,313.50 = 18,313.50 : x
  2. Step 2: Convert to fraction form
    11,985/18,313.50 = 18,313.50/x
  3. Step 3: Cross multiply
    11,985x = 18,313.50 × 18,313.50
  4. Step 4: Simplify right side
    11,985x = 335,384,282.25
  5. Step 5: Solve for x
    x = 335,384,282.25/11,985
  6. Step 6: Final answer
    x = 27,983.67

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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.