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Finding the Third Proportional to 12,998.50 and 20,163.75

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Solution

The third proportional to 12,998.50 and 20,163.75 is: 31,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.50 : 20,163.75 = 20,163.75 : x
  2. Step 2: Convert to fraction form
    12,998.50/20,163.75 = 20,163.75/x
  3. Step 3: Cross multiply
    12,998.50x = 20,163.75 × 20,163.75
  4. Step 4: Simplify right side
    12,998.50x = 406,576,814.06
  5. Step 5: Solve for x
    x = 406,576,814.06/12,998.50
  6. Step 6: Final answer
    x = 31,278.75

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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.