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Finding the Third Proportional to 6,288 and 11,635.50

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Solution

The third proportional to 6,288 and 11,635.50 is: 21,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288 : 11,635.50 = 11,635.50 : x
  2. Step 2: Convert to fraction form
    6,288/11,635.50 = 11,635.50/x
  3. Step 3: Cross multiply
    6,288x = 11,635.50 × 11,635.50
  4. Step 4: Simplify right side
    6,288x = 135,384,860.25
  5. Step 5: Solve for x
    x = 135,384,860.25/6,288
  6. Step 6: Final answer
    x = 21,530.67

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.