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Finding the Third Proportional to 12,919.50 and 20,259

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Solution

The third proportional to 12,919.50 and 20,259 is: 31,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.50 : 20,259 = 20,259 : x
  2. Step 2: Convert to fraction form
    12,919.50/20,259 = 20,259/x
  3. Step 3: Cross multiply
    12,919.50x = 20,259 × 20,259
  4. Step 4: Simplify right side
    12,919.50x = 410,427,081
  5. Step 5: Solve for x
    x = 410,427,081/12,919.50
  6. Step 6: Final answer
    x = 31,768.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.