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Finding the Third Proportional to 12,899 and 20,500.50

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Solution

The third proportional to 12,899 and 20,500.50 is: 32,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899 : 20,500.50 = 20,500.50 : x
  2. Step 2: Convert to fraction form
    12,899/20,500.50 = 20,500.50/x
  3. Step 3: Cross multiply
    12,899x = 20,500.50 × 20,500.50
  4. Step 4: Simplify right side
    12,899x = 420,270,500.25
  5. Step 5: Solve for x
    x = 420,270,500.25/12,899
  6. Step 6: Final answer
    x = 32,581.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.