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Finding the Third Proportional to 13,078 and 20,009.50

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Solution

The third proportional to 13,078 and 20,009.50 is: 30,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078 : 20,009.50 = 20,009.50 : x
  2. Step 2: Convert to fraction form
    13,078/20,009.50 = 20,009.50/x
  3. Step 3: Cross multiply
    13,078x = 20,009.50 × 20,009.50
  4. Step 4: Simplify right side
    13,078x = 400,380,090.25
  5. Step 5: Solve for x
    x = 400,380,090.25/13,078
  6. Step 6: Final answer
    x = 30,614.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.