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Finding the Third Proportional to 8,631 and 10,936.13

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Solution

The third proportional to 8,631 and 10,936.13 is: 13,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,631 : 10,936.13 = 10,936.13 : x
  2. Step 2: Convert to fraction form
    8,631/10,936.13 = 10,936.13/x
  3. Step 3: Cross multiply
    8,631x = 10,936.13 × 10,936.13
  4. Step 4: Simplify right side
    8,631x = 119,598,830.02
  5. Step 5: Solve for x
    x = 119,598,830.02/8,631
  6. Step 6: Final answer
    x = 13,856.89

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.