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Finding the Third Proportional to 8,437 and 11,699

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Solution

The third proportional to 8,437 and 11,699 is: 16,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437 : 11,699 = 11,699 : x
  2. Step 2: Convert to fraction form
    8,437/11,699 = 11,699/x
  3. Step 3: Cross multiply
    8,437x = 11,699 × 11,699
  4. Step 4: Simplify right side
    8,437x = 136,866,601
  5. Step 5: Solve for x
    x = 136,866,601/8,437
  6. Step 6: Final answer
    x = 16,222.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.