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Finding the Third Proportional to 20,704 and 30,120

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Solution

The third proportional to 20,704 and 30,120 is: 43,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704 : 30,120 = 30,120 : x
  2. Step 2: Convert to fraction form
    20,704/30,120 = 30,120/x
  3. Step 3: Cross multiply
    20,704x = 30,120 × 30,120
  4. Step 4: Simplify right side
    20,704x = 907,214,400
  5. Step 5: Solve for x
    x = 907,214,400/20,704
  6. Step 6: Final answer
    x = 43,818.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.