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Finding the Third Proportional to 12,954.94 and 20,100.66

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Solution

The third proportional to 12,954.94 and 20,100.66 is: 31,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.94 : 20,100.66 = 20,100.66 : x
  2. Step 2: Convert to fraction form
    12,954.94/20,100.66 = 20,100.66/x
  3. Step 3: Cross multiply
    12,954.94x = 20,100.66 × 20,100.66
  4. Step 4: Simplify right side
    12,954.94x = 404,036,381.68
  5. Step 5: Solve for x
    x = 404,036,381.68/12,954.94
  6. Step 6: Final answer
    x = 31,187.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.