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Finding the Third Proportional to 12,969 and 20,029

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Solution

The third proportional to 12,969 and 20,029 is: 30,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 20,029 = 20,029 : x
  2. Step 2: Convert to fraction form
    12,969/20,029 = 20,029/x
  3. Step 3: Cross multiply
    12,969x = 20,029 × 20,029
  4. Step 4: Simplify right side
    12,969x = 401,160,841
  5. Step 5: Solve for x
    x = 401,160,841/12,969
  6. Step 6: Final answer
    x = 30,932.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.