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Finding the Third Proportional to 11,945 and 14,129

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Solution

The third proportional to 11,945 and 14,129 is: 16,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945 : 14,129 = 14,129 : x
  2. Step 2: Convert to fraction form
    11,945/14,129 = 14,129/x
  3. Step 3: Cross multiply
    11,945x = 14,129 × 14,129
  4. Step 4: Simplify right side
    11,945x = 199,628,641
  5. Step 5: Solve for x
    x = 199,628,641/11,945
  6. Step 6: Final answer
    x = 16,712.32

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.