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Finding the Third Proportional to 8,283 and 11,896.50

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Solution

The third proportional to 8,283 and 11,896.50 is: 17,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283 : 11,896.50 = 11,896.50 : x
  2. Step 2: Convert to fraction form
    8,283/11,896.50 = 11,896.50/x
  3. Step 3: Cross multiply
    8,283x = 11,896.50 × 11,896.50
  4. Step 4: Simplify right side
    8,283x = 141,526,712.25
  5. Step 5: Solve for x
    x = 141,526,712.25/8,283
  6. Step 6: Final answer
    x = 17,086.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.